consider the quartic polynomial function h graphed here. where is h decreasing?
consider the quartic polynomial function h graphed here. where is h decreasing?
Answer
Answer:
The function $h$ is decreasing on the intervals $(-\infty, - 3)$ and $(0,3)$.
Explanation:
Step1: Recall decreasing - function definition
A function $y = f(x)$ is decreasing when, as $x$ increases, $y$ decreases. That is, if $x_1<x_2$, then $f(x_1)>f(x_2)$.
Step2: Analyze the graph
Looking at the graph of the quartic polynomial function $h$, we observe the direction of the curve. The curve is going down - hill (from left to right) for $x$ values in the interval $(-\infty, - 3)$ and also for $x$ values in the interval $(0,3)$.