/*! 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 531. In the following exercises, grap... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=|x|+1

Short Answer

Expert verified

The domain of the function is (-∞,∞)and range is [1,∞).

The graph of the function is shown below:

Step by step solution

01

Step 1. Write the given information and draw the table.

The given function is f(x)=|x|+1.

Put the different values of xinto the given function and make the table as shown:

x
f(x)=y
(x,y)
0
y=|0|+1=1
(0,1)
-1
localid="1644321348677" y=|-1|+1=2
(-1,2)
1
y=|1|+1=2
(1,2)
-2
y=|-2|+1=3
(-2,3)
2
y=|2|+1=3
(2,3)
02

Step 2. Draw the graph by using the obtained table. 

The required graph is shown below:

From the graph, it can be observed that the domain is (-∞,∞)and range is [1,∞).

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 91Ó°ÊÓ!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.