Chapter 2: Q. 65 (page 185)

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.

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information

Given graph

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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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.

Short Answer

Step by step solution

Step 1. Given information

See the point at which there is a sharp point

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

Short Answer

Step by step solution

Step 1. Given information

See the point at which there is a sharp point

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

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.