The function $\displaystyle {f}$ is graphed below. State the values that fulfill the following requirements.

If there are no such values, type DNE. If there are multiple discrete values, separate them with commas. If there are a whole interval of values that fulfill the requirement, use interval notation to give all of the values in the interval.

Type oo for $\displaystyle \infty$ and -oo for $\displaystyle -\infty$. Also type U for $\displaystyle \cup$.

Where is $\displaystyle {f}'={0}$? at $\displaystyle {x}=$ Where is $\displaystyle {f}'$ undefined? at $\displaystyle {x}=$ What are the critical values of $\displaystyle {f}$? at $\displaystyle {x}=$ Where does $\displaystyle {f}$ have local minimums? at $\displaystyle {x}=$ Where does $\displaystyle {f}$ have local maximums? at $\displaystyle {x}=$

What is the global minimum of $\displaystyle {f}$? Where does it occur? the global minimum is which occurs at $\displaystyle {x}=$ What is the global maximum of $\displaystyle {f}$? Where does it occur? the global maximum is which occurs at $\displaystyle {x}=$ Where is $\displaystyle {f}'>{0}$? $\displaystyle \forall{x}$ in the interval Preview Question 6 Part 10 of 11   Where is $\displaystyle {f}'<{0}$ ? $\displaystyle \forall{x}$ in the interval Preview Question 6 Part 11 of 11

Citation for image:
Strang, G., & Herman, E. (2016). Calculus Volume 1 (p. 376). Houston, TX: OpenStax.