determine all intervals on which the graph of f is decreasing.
determine all intervals on which the graph of f is decreasing.
Answer
Answer:
$(-5,-1)\cup(4,8)$
Explanation:
Step1: Recall decreasing - function property
A function $y = f(x)$ is decreasing when the graph goes down as $x$ increases.
Step2: Identify intervals on the graph
By observing the graph of $y = f(x)$, we see that the graph is going down (decreasing) from $x=-5$ to $x = - 1$ and from $x = 4$ to $x=8$. In interval - notation, these are the intervals $(-5,-1)$ and $(4,8)$.