7) Give an example of an equation for a single function whose domain contains 2, whose domain does not contain 1, and whose range contains 0 but does not contain -1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Topic Video
Question

In the image below

**Problem 7: Domain and Range of a Function**

*Question:*
Give an example of an equation for a single function whose domain contains 2, whose domain does not contain 1, and whose range contains 0 but does not contain -1.

*Explanation:*
This problem is asking for an example of a mathematical function that meets three specific criteria regarding its domain and range.

1. The function’s domain must include the number 2.
2. The function’s domain must exclude the number 1.
3. The function’s range must include the number 0.
4. The function’s range must exclude the number -1.

An educational example might involve the creation of a piecewise function or the use of a rational function with specific restrictions. For instance, the function could be designed in such a way that it is undefined at \( x = 1 \) and never reaches the value of -1.

If this question accompanies other graphical details or additional textual explanations, refer to those materials to understand how the function can be graphically represented and how the domain and range are determined.
Transcribed Image Text:**Problem 7: Domain and Range of a Function** *Question:* Give an example of an equation for a single function whose domain contains 2, whose domain does not contain 1, and whose range contains 0 but does not contain -1. *Explanation:* This problem is asking for an example of a mathematical function that meets three specific criteria regarding its domain and range. 1. The function’s domain must include the number 2. 2. The function’s domain must exclude the number 1. 3. The function’s range must include the number 0. 4. The function’s range must exclude the number -1. An educational example might involve the creation of a piecewise function or the use of a rational function with specific restrictions. For instance, the function could be designed in such a way that it is undefined at \( x = 1 \) and never reaches the value of -1. If this question accompanies other graphical details or additional textual explanations, refer to those materials to understand how the function can be graphically represented and how the domain and range are determined.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Knowledge Booster
Sequence
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning