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5-6.

Study the following information about $P(x)$

$P(0) = 0$

$P^\prime(2) = 0$

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

$P^\prime(0) = 1$

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

$P^\prime(6) = 0$

1. Use the information above to sketch a possible graph of $P(x)$.

Plot points in reasonable areas and draw short lines to represent the slope at each point.

2. Based on your sketch, give a reasonable estimate for $P^\prime(1)$ and $P^\prime(5)$.

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