Question

Use the following information to graph the function f over the closed interval [-2,5].

I.) The graph of f is made of closed line segments joined end to end.

II.) The graph starts at the point (-2,2)

III.) On the interval (-2,0) f’(x) = -2; on the interval (0,1) f’(x) = 1; on the interval (1,3)

f’(x) = 0; on the interval (3,5) f’(x) = 2

Answer #1

Using the slopes we can form the equation of lines which would help us determine the y-coordinate at various points on x asix.

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_________ at b.
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The Intermediate Value Theorem implies that f'(x)=1 at some
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The Mean Value Theorem implies that f(x) has a root in the
interval (0,1).
The Mean Value Theorem implies that there is a horizontal
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ii. One thru P(1,f(1)) to P2(1.5,__)
iii. One thru P1 to
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Here is a picture of the problem:
https://gyazo.com/e4d118fd3a49042c3b13a63a7d09ddf0

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26
2
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Here is a picture of the problem:
https://gyazo.com/e025257aff15effde694185276a2e24c

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