### Home > APCALC > Chapter 12 > Lesson 12.1.5 > Problem 12-57

12-57.

The graph at right shows the derivative of . Give approximate answers to the questions below and justify your responses.

For what value(s) of

doesattain a relative minimum?This occurs when

, or the slope function, changes from negative to positive. At what value(s) of

does a critical point that is neither a relative maximum nor a relative minimum exist?This occurs when

, but does not change from negative to positive.For what values of

is the graph ofconcave up?This occurs when

.