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 relative minimums? What are these relative minimum values? the relative minimum is which occurs at $\displaystyle {x}=$ Where does $\displaystyle {f}$ have relative maximums? What are these relative maximum values? the relative maximum is which occurs at $\displaystyle {x}=$

Where does $\displaystyle {f}$ have absolute minimums? What are these absolute minimum values? the absolute minimum is which occurs at $\displaystyle {x}=$ Where does $\displaystyle {f}$ have absolute maximums? What are these absolute maximums values? the absolute maximum is which occurs at $\displaystyle {x}=$ Where is $\displaystyle {f}'>{0}$? $\displaystyle \forall{x}$ in the interval Preview Question 6 Part 12 of 13   Where is $\displaystyle {f}'<{0}$ ? $\displaystyle \forall{x}$ in the interval Preview Question 6 Part 13 of 13

Citation for image:
Strang, G., & Herman, E. (2016). Calculus Volume 1 (p. 433). Houston, TX: OpenStax.