Question

evaluate the function graphically.
find $f(-3)$

Explanation:

Step1: Locate x = -3 on the x - axis.

We need to find the value of the function \(y = f(x)\) when \(x=-3\). So first, we identify the point on the x - axis where \(x = - 3\).

Step2: Determine the corresponding y - value (function value) at x=-3.

Looking at the graph, when \(x=-3\), we observe the plotted point. The open circle and the curve represent the function's graph, but the filled - in dot (the solid point) at \(x = - 3\) gives us the value of \(f(-3)\). From the graph, the y - coordinate of the point at \(x=-3\) is - 6.

Answer:

\(f(-3)=-6\)