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Q. 67

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Calculus

Found in: Page 185

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

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.

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

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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

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