Q47. Graph each function. Identify th... [FREE SOLUTION]

91影视

Chapter 2: Q47. (page 104)

Graph each function. Identify the domain and range
$47. 鈥夆赌夆赌� f (x) = \{\begin{cases} 鈥夆赌夆赌夆€夆赌夆赌夆€夆赌� 2 鈥夆赌夆赌夆€夆赌夆赌� i f 鈥夆赌� x < 鈭� 1 \\ 鈭� x 鈭� 1 鈥夆赌夆赌� i f 鈥夆赌� x 鈮� 鈭� 1 \end{cases}$

Short Answer

Expert verified

The graph of the function is as shown,

The function is defined for all value of x so that domain is all real numbers.

The range is $y = 2$

Step by step solution

Step-1 – Graph the constant function first

$f (x) = 2 鈥� 鈥� f o r 鈥� 鈥� x < - 1 鈥� 鈥�$ at $(- 1, 2)$

Step-2 – Graph the linear function

Graph the linear function $f (x) = - x - 1 鈥� f o r 鈥� 鈥� x 鈮� - 1 鈥� 鈥�$

Since $- 1$ does not satisfy the inequality at $(- 1, 0)$

Step-3 –Identify the domain and range

The function is defined for all value of x so that domain is all real numbers.

The range is $y = 2$

Step-4 – Plot the graph

Hence, the graph of function is as shown.

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.

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

91影视

Short Answer

Step by step solution

Step-1 – Graph the constant function first

Step-2 – Graph the linear function

Step-3 –Identify the domain and range

Step-4 – Plot the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

91影视

Graph each function. Identify the domain and range47.鈥夆赌夆赌�fx=鈥夆赌夆赌夆€夆赌夆赌夆€夆赌�2鈥夆赌夆赌夆€夆赌夆赌�if鈥夆赌�x<鈭�1鈭�x鈭�1鈥夆赌夆赌�if鈥夆赌�x鈮�鈭�1

Short Answer

Step by step solution

Step-1 – Graph the constant function first

Step-2 – Graph the linear function

Step-3 –Identify the domain and range

Step-4 – Plot the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.