Chapter 2: Q36. (page 94)

Graph each function. Identify the domain and range.
$f (x) = |x - \frac{1}{4}|$

Short Answer

Expert verified

The domain of the function is all real numbers and range isall nonnegative real numbers.

The graph of the function is shown below:

Step by step solution

Step-1 – Domain and range of the function.

The domain of the function is the set of all input values and range of the function is the set of all output values.

Step-2 – Draw the table.

Find several ordered pairs for the given function

f (x) = |x - \frac{1}{4}|

Put various values of x and obtained the respective y values.

The required table is:

Step-3 – Graph the function.

The graph of the function is:

Step-4 – Determine the domain and range.

Here, it can be observed that the domain of the function is the set of all real values because the function can take any value of x.

Also, the range is set of all nonnegative real numbers.

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!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Column A	Column B
the average (arithmetic mean) of three integers x, y, z and 29	30

Graph each function. Identify the domain and range.
$f (x) = |x - \frac{1}{4}|$

Short Answer

Step by step solution

Step-1 – Domain and range of the function.

Step-2 – Draw the table.

Step-3 – Graph the function.

Step-4 – Determine the domain and range.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Geometry

Discrete Mathematics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph each function. Identify the domain and range.f(x)=x-14

Short Answer

Step by step solution

Step-1 – Domain and range of the function.

Step-2 – Draw the table.

Step-3 – Graph the function.

Step-4 – Determine the domain and range.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Geometry

Discrete Mathematics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Graph each function. Identify the domain and range.
$f (x) = |x - \frac{1}{4}|$