Friday, February 20, 2009

A curve graph

What is the difference between a straight line and a curve graph?

Can one graph consist of a straight line graph and a curve graph?

If yes, can they ever intersect?

How can one determine by calculation if these two graphs intersect?

27 comments:

  1. I think one of the main differences between a straight line graph and a curve graph is tht...at any given point on the straight line graph, the gradient remains the same...but every different point on a curve graph has a unique distinct gradient

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  2. a straight line graph has a constant gradient throughout the line whereas a curve has differnt gradients at each point

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  3. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

    Gradient can be found using the formula:

    Gradient = Change in Y/Change in Y

    Gradient of a straight line can be both positive or negative.

    Starting from the left end of the line going across to the right is positive (but going across to the left is negative).
    Up is positive, and down is negative

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  4. the difference will b the gradient...straight line has one gradient tru-out willand in the curve line....the gradient changes wit every new point.....n yes i tink dey cud have both but dont tink dey cudd touch....

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  5. Yes i agree the difference between a straight line graph and a curve is the gradient.But i am not really sure if a curve and a straight line graph can consist of one graph. Could it?

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  6. i don't think so because no 2 points on a curve will ever have d same gradient.

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  7. a graph and a curve can intersect each other, when this happens it means that at this particular intersection the point found is at the same location for both the curve and the line. I do not think though that it has a common gradient, only a common point at intersection! anyone has any thoughts on it?

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  8. i not really sure if they can intersect....but concerning a straight line graph, u can find the precise gradient, however, on a curve graph u cant find the exact gradient of a point therefore approximation is involved

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  9. that is tru crazy kid you cant find the the gradient of a curve graph since everypoint you will have to draw a straight line graph for it

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  10. that is why u would normaly make an approxroxmation

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  11. wel a graph can consist of a straight line and a curve and dey would intersect at sum point,hwever there gradients would not be the same.

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  12. is it possible for there gradients to EVER be the same?

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  13. wel considering d fact that a curve has various gradients and a straight line has d same throughout, i dont think they wud ever b the same

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  14. but if we consider it at a point of intersection or how d lines are drawn around that point, then they "may" hv d same gradient.

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  15. i think the difference between both graphs is the gradient of a curve changes as you move along it; that is why the gradient of a curve is measured at just one point.

    a straight line which touches a curve at a single point but does not crosses through it is a tangent. note(the point where they meet is called the poijnt of tangency). if the line crosses the curve at two places the line is not a tangent to the curve. remember the slope is always found by the change in Y over the change in X.

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  16. I think i now understand that a straight line graph intersecting a curve graph could never have the same gradient. Am i correct

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  17. i was asking this same question but everyone seems to be unsure. so does anyone else know if a curve and a straight line which intersects each other can ever have the same gradient?

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  18. well maybe!! because a curve graph has a changing gradient in other words if you think of it logically a stright line has one gradient for any two ponits you take on the graph and a curve graph has a changing gradient at all time that is why we wud make and approximation. but if we were to calculate the precise point at which the gradients wud be the same. this is jus Theoretically ppl this cant be possiable

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  19. yes i believe that one graph can consist of a straight line graph and a curve graph. it just means that the both of them fall between the same range together to be in the same graph. well this is what i think

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  20. and yes they can intersect, i'm not fully sure if it has a large significants but i think it just means that they have one or more point that are the same, or in sum cases i think the straight line graph can be a tagent to the curve

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  21. well low rider only parallel lines can have the same gradient, i think so so correct me if i'm wrong

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  22. well if a straight line intersect a curve line it would be at the same point and should have the same gradient.

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  23. Yes low rider you are correct, and at this point it is called the tangent. The tangent of the intersection of the curve and the straight line is the same as the gradient if the straight line, since thae gradient of a straight line is the same thoughout all the point.

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  24. I think one of the main differences between a straight line graph and a curve graph is that every point on the straight line graph the gradient remains constantb and every different point on a curve graph has its own distinct gradient.

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  25. Curved graphs are usually formulated when the equation for plotting it has a squared term (usually a quardratic) whereas a straight line this does not implies....

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  26. a straight line graph is when you use nos,like whole nos meaning from 1 to like 100 or they can be negative to.

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  27. a curve graph is when you use things like a squared no.

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