Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q. 22 (page 87)

Sketch the graphs of functions that have the given limits and values. (There are multiple correct answers.)

limx→2 f(x)=−4andlimx→−∞ f(x)=−∞

Short Answer

Expert verified

We have been given the limits and their values for a function:

limx→2 f(x)=−4andlimx→−∞ f(x)=−∞

We have to sketch the graph of this function.

Step by step solution

01

Step 1. Given information. 

We have been given the limits and their values for a function:

limx→2 f(x)=−4andlimx→−∞ f(x)=−∞

We have to sketch the graph of this function.

02

Step 2. Graph the function 

The graph is :

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

State what it means for a functionf to be continuous at a point x = c, in terms of the delta–epsilon definition of limit.

For each limit in Exercises 33–38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx→-5(3x-2).

limx→11-cos(x-1)x

Calculate each of the limits:

limx→3xtan-1x

Each function in Exercises 9–12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.

limx→-1-f(x)=2,limx→-1+f(x)=2,f(-1)=1.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.

Sign-up for free