# Second Derivatives and Beyond: Are You Local? Quiz

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!*

**Second Derivatives and Beyond***f*(

*x*) = is correct?

*f*has a global max and a global min on the interval [-1,1].

*f*has a global max but no global min on the interval [-1,1].

*f*has a global min but no global max on the interval [-1,1].

*f*has neither a global max nor a global min on the interval [-1,1].

*f*(

*x*) = 4

*x*

^{4}+ 2

*x*is smallest on the interval [-2,2].

*f*(

*x*) =

*x*

*e*

^{x}?

*f*(

*x*) =

*x*

^{2 }– 3

*x*– 4?

*f*' is positive and

*f*" is negative, what shape is the function

*f*?

*f*looks like this:

Which of the following statements is true?

*f*' is positive and

*f*" is zero.

*f*' is negative and

*f*" is zero.

*f*' and

*f*" are both positive.

*f*' and

*f*" are both negative.

*f*' and

*f*" are as follows:

Use this information to fill in the graph of the function *f *: