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Chapter 2: Q. 68 (page 185)

For each function fgraphed 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

Expert verified

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

Step by step solution

01

Step 1. Given information

Given the graph

02

See the point at which there is a sharp point

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

The secant lines are

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Most popular questions from this chapter

Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

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Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

f(x)=x-12(x2-1)3

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.
See all solutions

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