Q. 65 - Calculus | StudyQuestionHub

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Q. 65

Question

For each function 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

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Answer

The function is not continuous at $x = 2$ and non-differentiable at $x = - 1, 2$ and the secant lines are

1Step 1. Given information

Given graph

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

From the graph, the function is having a sharp point at $x = 2$ . The function is nondifferentiable at $x = - 1, 2$

The secant lines are

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