Question

here is a graph of the function $f$.
use the graph to find the following.
if there is more than one answer, separate them with commas.
all local minimum values of $f$:
all values at which $f$ has a local minimum:

Explanation:

Step1: Recall the definition of local minimum

A local minimum of a function \(y = f(x)\) is a point where the function has a lower value compared to its neighboring points. On the graph, it is a "valley" point.

Step2: Identify the local minimum value

Looking at the graph, the \(y -\)coordinate of the local - minimum point is \(0\).

Step3: Identify the \(x -\)value at the local minimum

The \(x -\)coordinate of the local - minimum point is \(-3\).

Answer:

All local minimum values of \(f\): \(0\)
All values at which \(f\) has a local minimum: \(-3\)