Q5. Graph f(x)=x-1. Identify the dom... [FREE SOLUTION]

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Chapter 2: Q5. (page 95)

Graph $f (x) = |x - 1|$ . Identify the domain and range

Short Answer

Expert verified

Domain of $f (x) = R$

Range of $f (x) = R^{+} = [0, 鈭�]$

Step by step solution

Step-1 –Defining the function

$\begin{array}{l} f (x) = |x 鈭� 1| \\ = {\begin{cases} x 鈭� 1, i f x 鈮� 1 \\ 1 鈭� x, i f x < 1 \end{cases}} \end{array}$

Step-2 –Determining the domain of f(x)

Domain is the point where the value of $x$ is defined

So, Domain of $f = R$

Step-3 –Determining the Range of f(x)

Points where $f (x)$ is defined is called range

So, $f (x)$ is defined when it is greater than $' 0'$

Then, $x - 1 鈮� 0$

Range of $f (x) = R^{+} = [0, 鈭�]$

Step-4 –Plotting the Graph of f(x)

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91影视

Graph $f (x) = |x - 1|$ . Identify the domain and range

Short Answer

Step by step solution

Step-1 –Defining the function

Step-2 –Determining the domain of f(x)

Step-3 –Determining the Range of f(x)

Step-4 –Plotting the Graph of f(x)

One App. One Place for Learning.

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91影视

Graph f(x)=x-1. Identify the domain and range

Short Answer

Step by step solution

Step-1 –Defining the function

Step-2 –Determining the domain of f(x)

Step-3 –Determining the Range of f(x)

Step-4 –Plotting the Graph of f(x)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Statistics

Pure Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph $f (x) = |x - 1|$ . Identify the domain and range