Find the x-values of the relative maxima and relative

Question

1. Determine where the graph of the function is concave upward and where it is concave downward.

A. g(x) = 5x³ - 7x B. g(x) = -x² + 8x + 2

2. Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.)

g(x) = 2x³ - 7x

3. Find the x-value(s) of the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.)

3x⁵ - 80x³ + 12