Josephood7

The domain of the function hh graphed below is all real numbers, and all of its extreme values occur when −3<x<3−3<x<3. Use the graph to answer the following questions.

True or false: every relative maximum and minimum of hh occurs at a point where h′(c)h′(c) is either zero or does not exist.  ? True False 

True or false: at every point where h′(c)h′(c) is zero or does not exist, hh has a relative maximum or minimum.  ? True False 

Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a single category list the points in increasing order in x value and enter N in any blank that you don't need to use.

f(x)=3x4−6x2+9, [−2,3]

List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use.

F(x)=x4/5(4x−16)2

List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use.

g(x)=1x1/3−1x−2/3

Find the critical numbers of
f(x)=|x3−3x2+2|f(x)=|x3−3x2+2|

Enter the points in increasing order and enter N into any blank you don't need to use.