Questions: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which point(s) is f discontinuous? Use a comma to separate multiple x-values. Provide your answer below: The function is not differentiable at the point(s) x= and is discontinuous at the point(s) x=

The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which point(s) is f discontinuous?

Use a comma to separate multiple x-values.

Provide your answer below:

The function is not differentiable at the point(s) x= and is discontinuous at the point(s) x=

Transcript text: The graph of the function $f(x)$ is shown below. At which point(s) is $f$ not differentiable? At which point(s) is $f$ discontinuous? Use a comma to separate multiple $x$-values. Provide your answer below: The function is not differentiable at the point(s) $x=$ $\square$ and is discontinuous at the \[ \text { point(s) } x= \] $\square$

Solution

Solution Steps

Step 1: Identify points of discontinuity

A function is discontinuous at a point where there is a break in the graph. In the given graph, there are no breaks.

Step 2: Identify points of non-differentiability

A function is not differentiable at a point where the graph has a sharp corner, a cusp, a vertical tangent, or a discontinuity. The given graph has sharp corners at x = -7, x = -3, and x = -2. It has no cusps, vertical tangents, or discontinuities.