### Home > CALC > Chapter 9 > Lesson 9.2.1 > Problem 9-53

9-53.

The graph below shows . Use it to answer the following questions.

Over what interval(s) is

concave up?is concave up whenis positive. Where is the given graph positive?Estimate

.This is asking for the slope of the given graph at

.At what

-value(s) doeshave a point of inflection?This is where

changes sign. Where does the given graph change from negative to positive and vice versa?At what

-value(s) doeshave a minimum value?*f*′ has a minimum where its slope changes from negative to positive.

The slope ofis. So where doeschange from negative to positive?