Question

determine all intervals on which the graph of f is decreasing. graph of f answer attempt 1 out of 2 additional solution no solution

Explanation:

Step1: Recall decreasing - graph property

A function $y = f(x)$ is decreasing on an interval if, as $x$ increases, $y$ decreases. That is, for any two points $x_1$ and $x_2$ in the interval with $x_1f(x_2)$. On a graph, the function is decreasing when the graph is going down - hill from left to right.

Step2: Identify intervals on the graph

Looking at the given graph of $y = f(x)$:

• From $x=-8$ to $x = - 4$, as $x$ increases, $y$ is decreasing.
• From $x=0$ to $x = 6$, as $x$ increases, $y$ is increasing.
• From $x = 6$ to $x=9$, as $x$ increases, $y$ is decreasing.

Answer:

$(-8,-4)\cup(6,9)$