consider the quartic polynomial function h graphed here. where is h decreasing? the function h is decreasing…

consider the quartic polynomial function h graphed here. where is h decreasing? the function h is decreasing on (write your answer using interval notation.) video help

consider the quartic polynomial function h graphed here. where is h decreasing? the function h is decreasing on (write your answer using interval notation.) video help

Answer

Answer:

$(-\infty, - 3)\cup(0,3)$

Explanation:

Step1: Recall decreasing - function definition

A function $y = h(x)$ is decreasing when the graph goes down as we move from left - to - right.

Step2: Analyze the graph

By observing the given graph of the quartic polynomial function $h(x)$, we see that the function is going down for $x$ values in the intervals $(-\infty,-3)$ and $(0,3)$.

Step3: Write in interval notation

We write the intervals of decrease as $(-\infty, - 3)\cup(0,3)$.