Q. 373 a) Graph each function. b) State... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q. 373 (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 3 | x |$

Short Answer

Expert verified

Domain of the function is $(- 鈭�, 鈭�)$ . Range of the function is $[0, 鈭�) .$

Step by step solution

Step 1. Given Information

The given function is $f (x) = 3 | x |$

Step 2. Formation of ordered pairs

Its not a linear function. The table can be formed using different x-values. The ordered pairs can be formed by plot and connect to form graph.

$x$	$y = f (x)$	$(x, y)$
$0$	$y = 3 \| 0 \| 鈫� y = 0$	$(0, 0)$
$- 1$	$y = 3 \| - 1 \| 鈫� y = 3$	$(- 1, 3)$
$1$	$y = 3 \| 1 \| 鈫� y = 3$	$(1, 3)$
$- 2$	$y = 3 \| - 2 \| 鈫� y = 6$	$(- 2, 6)$
$2$	$y = 3 \| 2 \| 鈫� y = 6$	$(2, 6)$

Step 3. Graph of the function

The graph can be drawn as,

Step 4. Domain and range

The given function is absolute value function and defined by all real values. Domain of the function is $(- 鈭�, 鈭�)$ . It represents all values of y, which is greater than or equal to zero. Range of the function is $[0, 鈭�) .$

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

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 3 | x |$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Probability and Statistics

Calculus

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.f(x)=3|x|

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Probability and Statistics

Calculus

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 3 | x |$