Given the function, f(x)=2x³-6x+3 find the following:

The critical points for f(x):

1.

2.

3.

4.

(2 pts)

Complete the 1* derivative chart approximating the graph and identifying relative minimums,

maximums, or horizontal points of inflection. (4 pts)

g'(x) = x²(x+3)(x-2)

-3

+

-1

0 1 2

If h(x) = 2x² +6x²-5 Find if there are any points of inflection for h(x):

3

+

4

5

(2 pts)

If m'(x)=x² +6x-7 determine the concavity of the function at the critical points for m(x):

(2 pts)