Q. 67 - Calculus

Question

For each function $f$ graphed in Exercises 65-68, determine the values of $x$ at which $f$ fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.

Step-by-Step Solution

Answer

The function is not continuous at $x=-1$ and non-differentiable at $x=-1$ and the secant lines is 

Step 1. Given information

Given the graph 

Step 2: See the point at which there is a sharp point

From the graph, the function is having a sharp point at  $x=-1$ at which is not continuous  and not differentiable at $x=-1$

The secant lines are