Thursday, January 29, 2009

The use of drawing of a graph

Why do we need to draw a graph?

What is meant when a curve or stright line cuts the x-axis?

When a curve or stright line cuts the x-axis, does that have a significance in real life?

What is meant when a curve or stright line cuts the y-axis?

When a curve or stright line cuts the y-axis, does that have a significance in real life?

What is meant by y-intercept, x-intercept?

98 comments:

  1. a graph is used 2 dislay change of something vs another. it is mainly used by us 2 display in mportant in formation in which a desigion and judgements are made

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  2. hmmm...I agree that a graph is drawn for decision making.i know that when a curve or straight line cuts the x axis the x value(s) is the x intercept and that the y value is zero..but significance to real life..im not sure

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  3. i think well when the line in the graph cuts any of the axies it represents a zero like say when it cuts the y axis the vale of x is zero so mabe in real life it can be used to represent where what is comapred has reached its end point or turning point. mabe dats wat i think

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  4. but one thing........ what we use graphs for anyway....... I confused........:-P

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  5. I mean we use it to represent different information over a period of time or vs something else........ but why??????

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  6. i would say to help us make a desigion as they say a picture tells 100 words. consider a graph like a picture it tells alot form which we can diduce information an make desigions

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  7. i agree with tacobell...a picture does tell 100 words..i guess a visual display of information does provide a better understanding of the data..thats why a graph is used

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  8. Exactly....daz a really good comment there....looking at a diagram of sumn makes it alot easier to decipher info from....hence.....a graph is used to represent some data.....watever it may be....making it easier to interpret...

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  9. oh cool then........ hmmmmm....... we use graphs everyday then because we use it to represent alot of things in picture form, either for business or just keeping a record of something... right? well that is what I think at least......

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  10. Yeaaa......in business....or keeping a record of something.....but there's alot of other uses of graphs.....say for example....in hospitals...in thoss hospital machines that show ya heart beat and stuff...even the electricity you get in your house....AC current...is measured a graphical form.....with the waves being shown on a graph.....

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  11. so then the waves are graphs too then......... if that is what you sre saying???? because it kinda resembles a graph but it surves a different purpose.... right???

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  12. Yeaaaa.....the waves are graphs....they differ....cause in from an AC source remembe rthe currents alternate....goes back and forth.....and it is represented graphically.....goin up on the positive y-axis when it's flowing forwards and then it reaches a climax and decreases to the minimum point in the negative y-axis then the cylce continues.....and the graph can be used to read various infomation abt the AC current...:p

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  13. but then again current is electricity and we can't make that a wave.....lol....... but the way we read it through a special device gives us a wave to explain the changes in the electrical field..... ent?

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  14. on a graph it has both negative and positive values for both the x-axis and y-axis....i think that these valuse are exactly as they are negative and positive values therefore the graph will show points at which the positive vaule changes to the negative or vice versa....like in companies it will show where you have a profit ...meaning positive and where they will owe money being negative or where they will break even (neither a positive or negative thus where the line cuts the axis) so just by looking at the graph they will c if their business is doing well or not ...

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  15. kids its just a diagram showing relationships between varying quantities:maybe a line or curve depends on the function

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  16. well things are not what they seem........ never judge a book by its cover......... it must have something I not understanding about graphs because it still not clicking in my head.....:-P

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  17. A graph is used to represent information one set of values represented by either the x or y axis, against the other term or set of values in the other axis.you can compare both set of values and represent both sets of information on the graph using an appropriate scale to fit the entire graph.

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  18. a graph is a mathematical representation of engineering principles to help us better understand how these principles work in real life

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  19. knowledge just flowing here. whey...

    but what really is a graph?
    i guess graphs have to come from real life BECAUSE of a need. in a logical sense, life is a series of cause and effect relations, each that cause another effect, which goes on indefinitely. so x-y graphs isolate two (2) events (x being cause and y being effect) and show a numerical and/or rational relationship between both.
    it is our need to look at these events closely that brings the use of graphs. we need graphs to show us underlying occurances and patterns that are present in the relationship under study; things that we can't see at a glance but can be important to our lives.

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  20. we know that when a graph, curve or straight line, cuts the x-axis there is a nil value associated. we interpret this as y=0. in other words the value of x where the x-axis is cut, when entered into the function that produces the graph (ie. the equation), the y values results in a zero.

    thinking still about cause and effect relations, there may be a particular state of the causing aspect (x value) that produces no effect (y value=0).
    for example if you have no money in the bank at a 6% interest rate, guess what, you're not going to get any. so on a graph the cutting of the x-axis would take place at x=0. in a different senario let's say the amount of food you ate affects your level of hunger (x affects y). obviously a higher value of x would result in y being equal to zero.

    althought these aren't things we might normally put on a graph, the concepts of thing we would put on a graph are pretty much the same...

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  21. Ahhhhh boi....DJ allowing the knowledge to flow out....:P Lol...

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  22. I think a graph is used to show the relationship of one quantity to the other. it shows the way one quantity interchanges with the other...

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  23. graphs are used for displaying essential information. it is used in everyday life.for instance some people uses graph to budget themselves for the month on spending, savings etc. some may use a pie chart with percentages or even a bar graph. there are many other examples of everydaylife use of graphs that people is not aware of.but many people think that a graph jus deals with x an y values and dont know how it is used in real life. a graph i believe simply compares one variable to another.

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  24. well i think that a curve and a straight line that cuts the x axis has a y value at that point o zero. for example if the line cuts the x axis at 2. the coordinates of that point is (2,0)where y=0 when x=2

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  25. i know that there is a significanc to real life when the line cuts the x axis but im not to sure how to explain it can i get help plz.

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  26. when the line cuts the y axis it is known as the y intercept, and in real life i think it shows how much of something you have started of with.if the line is on the origin then you have started with nothing, if your above the origin then you have started of with an amount of something, it could be for eg money.

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  27. y intercep as i said before is where the line cuts the y axis and for the x intercept that is where the line has cut the x axis.

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  28. wel graphs are important in everyday life, we use it all time.To save lifes,to calculate the speed at which we drive or even hw much time we spent doin sumting each day.without graphs then many errors occur

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  29. when a curve or straight line cuts the x axis it simply means that the y value is in equilibrium or in other words has a value of zero, this is because at any piont on the axis the value of y will always be 0

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  30. when a curve or straight line cuts the x axis it simply means that the y value is in equilibrium or in other words has a value of zero, this is because at any piont on the axis the value of y will always be 0

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  31. ok people rhel talking here and giving various answers but there is one problem.......... I think we'd been through this already......... nobody actually saying anything new......... is just the same thing but in different ways........... and noone answered my little question....... why???

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  32. ok i cant ans dat why??? question but amm..about the x and y intercept...the x intercept is where the graph cuts the x axis and y=0 and the y intercept is where the the graph cuts the y axis and x=0..but what else is there 2 it...what does this mean..intercept?

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  33. well the word intercept mean what it says........... intercept....... a point where one line or curve meet each other in an intersection and where the axis in question is the one being "cut" by the line or curve, the point where they meet is the intersection...........

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  34. simple terms....an intercept is a mark or a point where two figures intersects. so in this case, wherever the line intersects (cross over) or meet either d 'y' or 'x' axis, there is an interception. an wel as discussed b4, we kno what is a y-intercept and a x-intercept.

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  35. hey there's a question bout a y-interception in relation to real life....cant any1 explain using an example?

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  36. sry i meant CAN any1 explain.......like say we plottin a graph of profit against time, if there's a y-intercept or d line crosses d x-axis, wont that b a loss, since it will b a negative figure?

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  37. well you know if you start as a point being on the y-axis then it wont be a loss, it would be a gain going to more gain......... and that could be the y intercept.......

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  38. the concept of the x and y intercept from a graphical point of view is pretty simple...x intercepts are where the graph crosses the x axis and y intercepts are where the graph crosses the y axis...remember when you first learned to draw graphs? you had to first know how to draw a number line right? and then to complete your graph you were shown how to draw a vertical number line through the 0 point of ure first number line...so that if u analyze tht piece of info ud see that the y axis falls on the line x=0 and the x axis falls on the line y=0 so from this we can deduce tht the y intercept is the point x=0 and the x intercept is the point y=0

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  39. so how can we apply the concept of y-intercept and x-intercept to real life? i'm having a hard time seeing the connection

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  40. well ghetto_celeb everything we do in real life involves graphs.Graphs are used to show realtionships between 2 things all u have to do is interchange or substitue those values e.g height(x-axis)ranging from 144cm to 200cm and the # of ppl who are that tall(y-axis).

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  41. i never really understood graphs especially the ones where they give you 'y=2x+3,etc', all ikno is that a graph demonstrates the rate of change of some sort of element

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  42. i dont think x is proportional to y, consider how uneven the points are in a curve and how difficult it is to find the gradient

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  43. hey crazy kid isnt there some kinda formula for finding the y intercept

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  44. thats interesting thats waves being graphs,does this apply to the electromagnetic spectrum? so wat u tryin 2 say is it can also display the flow of energy as well as matter?

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  45. heay guys i need help with this:
    FIND THE ROOTS OF THE EQUATION USING A GRAPH?

    Y=2X^3-X^2-8X=15
    WHATS THE STEPS IN SOLVING THIS EQUATION

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  46. hmmmmmmm...... I think I will get back to you on that one......... when I figure out what you typed there........lol

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  47. the ^ means its 2X cube, then minus X squared, then minus 8X, equal to 15

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  48. wel i think wen the line cuts the x axis, it simply means that at that value on the x axis the y value is zero and vice versa.

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  50. okay so you input figures until it cuts the axis

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  51. In most cases, when you find the equation of a line Y=MX + C you can easily determine the y intercept which would be C, I think graphs do have significant importance, so when a curve/line cuts the x-axis it should have some probable meaning applying it to real life according to the situations involved.

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  52. Finding the roots of the equation, 2x(cube)- x(squared)-8x = 15, firstly. Step 1 break down the equation to something you could work with.
    that is, factorise! You'd get X(2X(squared)-X-8)=15. this should be a bit easier to understand and workout.

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  54. Well, firstly i agree that drawing graphs are important. They are important in many aspects of life one of which is in science- in Medical reports: Graphs are used to make calibration curves, this curve is a standardization of a either an enzyme reaction or any chemical reaction taking place in the human body, for a person being tested for a malfunctioning enzyme which is very important to carry out functions inthe body, data is collected and plotted against a calibration curve of an active/healthy enzyme under the same conditions. Any abnormalities can be detected which is based solely on a simple graph. Thus you can see its importance.

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  55. well the question about graphs are really vague and unsure.
    i mean graphs relate to so much more than simply determinig the change in a factor and a change in another facror.
    such as advanced physics, ordinary physics, chemistry, biology and solely maths.

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  56. i also believe that graphs and maths has a way of enabling you how to think about a situation hence drawing a graph will make that decision easier

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  57. the y intercept is any value taat cuts the y axis...well thats wat i no an weezy the formula is mx+c, where c is the y intercept

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  58. the cubic equation weezy want help with...this is hw to do it ....
    wel firstly the equation is 2x^3-x^2-8x=15 so carry across the 15 on the other side of the equal sign and equal it to 0.so the equation will now read y=2x^3-x^2-8x-15.then choose a range of values for x.eg.0,1,2,3,-1,-2,-3 ect.it could be any number. and wherever there is x substitute the numbers and find the corresponding terms for y.Then plot these co ordinates and wherever the line cuts the x axis,these are the values of x,there suppose to be 3 x values since it is a cubic equation...wel thats wat i think....

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  59. wen a curve or a straight line cuts the y axis then x=0.there r no values for x

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  60. i think fariels best student is right, graphs do make things so much simpler.

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  61. honestly before this week i thought graphs were a waste of time. In the real world i mean

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  62. we need graphs in everyday life 2 hav a better understandin abt a group of data, whether its the no. of ppl that are hiv positive as compared to those that aren't etc. So the data is interpreted and is understood clearly, rather than jus being on a sheet of paper!!!

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  63. I think wen a curve/line cuts d x axis means dat a point A is formed and a point has coordinates (x value and y value). So the coordinates of dis pt wud b sum x or y value rite........ so 1). the x value wud b the pt at which the curve/line meets the x axis, i.e. sum point, lets say X1. and 2). the the y value wud be 0, hence point A has coordinates (X1, Y1). Y is equal to 0 on d x axis bcuz, the point falls directly on d x axis and wen dis occurs,the y value is n line wit d origin which has coordinates (0,0)- x is equal to 0 and, y is equal to 0, but since x is not equal to 0 (X1 is d value where d line/curve meets d x axis), the y coord. takes dis value 0 frm the ORIGIN

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  64. I think wen a curve/line cuts the y axis this wud simply be d opposite of wat i posted up for: wat is meant by wen a curve/line cuts d X AXIS!!!!!!!!!!!!!!

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  65. wow rhel knowledge flowing in this place and nerd make some good point and desi girl too and fariels best student has a point but graphs still is complicated to me and dark angel gave some good examples of real life uses for graphs but is not the understanding of graphs that have me confused..... it is actually calculating and drawing the graph and what everything means.......

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  66. i think a graph is simply a variable in relation to annother variable either directly proportional or inversley proporational to each other

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  67. i think when a a curve or straight line cuts the x axis it means that the y value is 0. in real life if it cuts the x axis and goes under the line then this represents a decrease in production level

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  68. well IQ200 to plot a graph u must hav an equation, like for example 3y=5x+3, a very simple one. first u transpose to get the equqtion into the general fprmula of y=mx+c, where m is the gradient or change and c is the y-intercept which is simply where te line cuts the y or vertical axis. so transposing the equation above u will get y=5x+3/3. then u choose a range to which u want ur graph to be plotted, to do this u normally choose values for x between like -3 to 3, u then substitute these x values into the equation and solve for y. the correspondind y value for that specific x value will be a coordinate or a point to plot. for example if u substitute x as 3 u will get y=5(3)+3/3 which is y=15+3/3 which gives y=18/3=6 therefore the coordinate or point to plot is (3,6) where x is 3 and y is 6. u then do this for all the x values in the range, obtain ur points then acquire a scale for ur graph and plot all the points. where the graph cuts the y axis that point is ur y-intercept. and u can calculate ur gradient which is m by deviding the change in y over the change in x which simply is y2-y1/x2-x1. this is how to plot a simple graph, for other graphs u use the same concepts and you'l solve it. i hope ive been some help to u. if i said anything wrong or left out something feel free to correct me.

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  69. hey its a good thing you posted that example cuz it seems as though most of us understand the concept behind graphs, what it looks like, how to draw it, we know the y-intercept is 'c' in the equation y=mx+c and where the y-axis cuts the graph x=0 and where the x-axis cuts it, y=0 and stuff but the difficulty comes in actually calculating it and getting the points, so the example by angel was a help loll

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  70. like they say its hard to get started but once you do, you can go on headstrong...as far as the use of graphs in real life are concerned , well some of you posted examples that we might know of but i guess it never occured that a whole bunch of mathematical calculations lie behind it lol..but i still don't really understan d significance of when y cuts d x-axis or vice versa..in real life..what does that indicate?

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  71. The reason for drawing graphs is to paint a picture to bring across a specific idea or relationship between two identities...lets say time and temperature just to show information over a period of time...we also need to draw graphs because it makes life simpler and drawing naturally to the mind is easier to interpret than the written...

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  72. Hmmm! I think that in the case of a curve or straight line cutting the x-axis, the real life scenario is significant.

    How???

    Well... suppose that a car travelling a distance "d" (represented by the y-axis) in a given time "t" (represented by the x-axis) and d=0, then the car is stationary. (i.e. if the distance is zero, then the time is also zero)

    So... from this inference i think it is safe to say that "t" is dependent on "d" and vice versa, which is "significant".

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  73. Graphs are used in almost everthing in life . Doctors need graphs look at the heart readings of a ill person to show when their heart beat has rerached a critical point. We use it in our steros to show different levels of sound.

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  74. When a straight line cuts the x axis it tells you that point of intersection between two points

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  75. Yes indeed graphs make life simpler for example graphs can be used to record large amount of data in businesses and can tell in weaknesses of a business and where improvment can be made.

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  76. i agree that graphs are used to display information and that it can be applied to everyday life from an accelerating car to change in temp. i think graphs help make life easier

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  77. we need to draw graphs because graphs are used in everyday life. for example graphs are used in companies to deconstrate profit and loss annually. in this case a graphs will actually be very effective, since it has visual impact, it immediately demonstrates whether the company is prospering or not.

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  78. when a curve cuts the x-axis this means that there is a root for the graph. roots are also called factors.

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  79. I think when a curve cuts the x-axis this means that whatever we are cheaking in real life has decreased significantly, because the top of the curve means that whatever we are cheaking( e.g money) is at its highest(peak)

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  80. Yes i agree with "mysticwings" that when a graph cuts the x-axis there are roots or factors for the graph and for my interpretation of a line cutting the y-axis is that the value of anything such as de information given is increasing

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  81. the y intercept is where the graph cuts the y axis and the x intercept is where the graph cuts the x axis. each one is important on various graphs as it signifies a change from positive to negitive or vice versa, depending on the direction of the graph

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  82. well we need to draw a graph to indicate relationships between two or more variable quantities.

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  83. when a curve or a straight line cuts the y axis this is the y intercept which is c in the equation y = mX + C.

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  84. graphs are drawn as a visual reference to see realations between two variables and to also see patterns for one variabl.

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  85. To me a graph is a representation of a relationship between two things. it shows the changes when one factor changes or affected.

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  86. when a curve or straight line cuts the x axis I think this means in real life example in a business when stocks run out or failure .

    You all don"t forget to correct me if I am wrong. yo

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  87. the y-intercept is when the line of the graph cuts the y axis and the x-intercept is when it cuts the x axis.....

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  88. we need to draw graph so we could see the relatioships of things not only in maths but in real life as well.

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  89. when a curve or straight line cuts the x-axis that means that the x has reached 0 and is now going to the negative side

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  90. when a curve or straight line cuts the x-axis, in real life i think the significance of this in real life means that we have peaked and now we raeched rock bottom as they say.

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  91. y intecept means the graph has cut the y-axis


    x intercept means the graph has cut the x-axis

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