the given function $f(x)$ is defined on the interval $-9,9$ and represented by the graph below. find the…

the given function $f(x)$ is defined on the interval $-9,9$ and represented by the graph below. find the $x$-value(s) at which the minimum value of $f(x)$ occurs.

the given function $f(x)$ is defined on the interval $-9,9$ and represented by the graph below. find the $x$-value(s) at which the minimum value of $f(x)$ occurs.

Answer

Explanation:

Step1: Identify lowest graph point

Locate the point on the graph of $f(x)$ (on $[-9,9]$) with the smallest $y$-value. This is the leftmost closed point at $x=-9$.

Step2: Confirm minimum location

Verify that no other point on the graph has a lower $y$-value than the point at $x=-9$.

Answer:

$x=-9$