CPM Homework Help : APCALC Problem 5-6

Review the following information about $P$ .

$P(0) = 0$

$P^\prime(2) = 0$

$P^\prime(4) = -5$

$P^\prime(0) = 1$

$P^\prime(3) = -1$

$P^\prime(6) = 0$

Use the information above to sketch a possible graph of $y = P(x)$ .
Hint (a):
Plot points in reasonable areas and draw short lines to represent the slope at each point.
Based on your sketch, give reasonable estimates for $P^\prime(1)$ and $P^\prime(5)$ .
Hint (b):
Use your graph to guess what the slope is at $P(1)$ and $P(5)$ .

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: Calc 5-6 HW eTool