Question

In Problems 13–32, use the accompanying graph of $y=f\left(x\right)$.

Find the x-intercept(s), if any, of $f$.

Short answer

The x-intercepts are -8,-5,-3.

Step-by-step solution

Step. 1 What is x-intercept?

x-intercept is the point at which the graph cuts the x-axis.

Step. 2 Analyzing from the graph.

As we can see from the graph that the graph is touching or cutting the x-axis at

$x=-8,-5,-3,4$.

But here you have to be conscious because $x=4$is not in the domain of the function i.e., we have open interval at $x=4$.

So, we have only 3 x-intercepts which are$x=-8,-5,-3.$