Use information from the derivatives of the function to determine where the graph is increasing and decreasing and where it is concave up and concave down. F(x)= x^3 - 3x^2 - 9x - 5

Answer 1

F;(x) = 3x² - 6x - 9

F'(x) = 3(x² - 2x - 3)

F;(x) = 3(x - 3)(x + 1)

Zeros are -1 and 3.

Can you examine F''(x) = 6x - 6 to determine concavity?