### Home > APCALC > Chapter 5 > Lesson 5.1.3 > Problem 5-25

5-25.

Use the graphs of and

*below to determine the*

*x*-values of all local minima, maxima, and points of inflection. Homework Help ✎

a.

will be increasing where

*is positive, and vice versa.*

*will be concave up where*

*has positive slopes, and vice versa.*

Local max at *x* = −1; changes from positive to negative.

Inflection points at

*x*= −0.5, 0, 0.5;

*changes slope.*

Local min at

*x*= 1;

*f*'(

*x*) changes from negative to positive.

b.

See the hint in part (a).