The derivative of a twice-differentiable function is increasing on

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The derivative

f'

of a twice-differentiable function

f

is increasing on

(-\infty,-2)

, decreasing on

(-2,5)

, and increasing on

(5,\infty)

. Identify the intervals on which the graph of

f

is concave down and state the

x

-coordinates of all points of inflection.