Q53. Graph each function. State the d... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 4: Q53. (page 274)

Graph each function. State the domain and range.
$f (x) = | x |$

Short Answer

Expert verified

The domain is all real numbers and the range is non-negative real numbers i.e.,

${y : y 鈮� 0}$

Step by step solution

Step 1. State the concept for absolute value function.

An absolute value function is a function that contains an algebraic expression within absolute value symbols. The absolute value of a number is its distance from 0 on the number line.

$f (x) = | x | = {\begin{matrix} x; x > 0 \\ 鈭� x; x 鈮� 0 \end{matrix}}$

Step 2. Make a table for the given function.

Construct a table for $f (x) = | x |$ by taking some values of $x$ .

$x$	$y = f (x) = \| x \|$
$鈭� 2$	2
$鈭� 1$	1
0	0
1	1
2	2

Step 3. Plot the graph.

Plot the values of $x$ and $f (x)$ on a graph,

The $x$ -coordinate values specify the domain of the function. Since the graph covers all possible values of $x$ , the domain is all real numbers.

The $y$ -coordinate values specify the range of the function. Since, the graph does not take any value less than or any negative value, the range is .

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91影视

Graph each function. State the domain and range.
$f (x) = | x |$

Short Answer

Step by step solution

Step 1. State the concept for absolute value function.

Step 2. Make a table for the given function.

Step 3. Plot the graph.

One App. One Place for Learning.

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91影视

Graph each function. State the domain and range.f(x)=|x|

Short Answer

Step by step solution

Step 1. State the concept for absolute value function.

Step 2. Make a table for the given function.

Step 3. Plot the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Graph each function. State the domain and range.
$f (x) = | x |$