/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2 Construct examples of the thing(... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 2 (page 777)

Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading:

(a) The graph of a function with f(4)=2that has a removable discontinuity at x=4.

(b) The graph of a function that is continuous on its domain but not continuous at x=0.

(c) The graph of a function that is continuous on (0,2]and(2,3)but not on(0,3).

Short Answer

Expert verified

Part (a) The graph of a function with f(4)=2that has a removable discontinuity at x=4.

Part (b) The graph of a function that is continuous on its domain but not continuous atx=0.

Part (c) The graph of a function which is continuous on(0,2]and(2,3)but not continuous on(0,3).

Step by step solution

01

Part (a) Step 1. Calculation

The function f(4)=2that has a removable discontinuity at x=4is f(x)=x2:0<x鈮�45x:4<x<5

Here,

LHL鈮�RHLatx=4

The graph is given below

02

Part (b) Step 1. Calculation

A function that is continuous on its domain but not continuous at x=0

f(x)=1/x(Domain)f(x)=R-{0

The graph is given below

03

Part (c) Step 1. Calculation

A function which is continuous on (0,2]and(2,3)but not continuous on (0,3)is

f(x)x+2:0<x鈮�24+x:2<x<3

Here function is continuous on (0,2]and(2,3)but not continuous on (0,3).

The graph is given below

Here function is continuous on (0,2]and(2,3)but not continuous on(0,3).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Give an example of three nonzero vectors u, v and w in 鈩�3 such that u脳v=u脳w but v鈮�w. What geometric relationship must the three vectors have for this to happen?

Consider the sequence of sums 13,13+19,13+19+127,13+19+127+181,鈥�

(a) What happens to the terms of this sequence of sums as k gets larger and larger?

(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).

How is the determinant of a 3 脳 3 matrix used in the computation of the determinant of two vectorsu=(u1,u2,u3)andv=(v1,v2,v3)?

In Exercises 22鈥�29 compute the indicated quantities when u=(2,1,鈭�3),v=(4,0,1),andw=(鈭�2,6,5)

v脳wandw脳v

In Exercises 30鈥�35 compute the indicated quantities when u=(鈭�3,1,鈭�4),v=(2,0,5),andw=(1,3,13)

u脳wandw脳u
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.