Create an exponential function, f(x), which has FOUR of the five properties listed below.  It is not possible to use all five properties together.  Start by listing what each bullet point tells you,   f(x)=ab^k(x-d)+C   The parent function is an example of exponential growth The range of the function is . The transformations include (but are not limited to) a vertical compression, a horizontal translation to the left and a vertical translation. The function has no x-intercept The function is decreasing   Create an equation which satisfies four of the five properties.  Be sure that your work explains how you know each property is satisfied. Explain why the fifth property can not be included.   [Hint: Explain why it conflicts with something already used.]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

Create an exponential function, f(x), which has FOUR of the five properties listed below.  It is not possible to use all five properties together.  Start by listing what each bullet point tells you,   f(x)=ab^k(x-d)+C

 

  • The parent function is an example of exponential growth
  • The range of the function is .
  • The transformations include (but are not limited to) a vertical compression, a horizontal translation to the left and a vertical translation.
  • The function has no x-intercept
  • The function is decreasing

 

  1. Create an equation which satisfies four of the five properties.  Be sure that your work explains how you know each property is satisfied.
  2. Explain why the fifth property can not be included.  

[Hint: Explain why it conflicts with something already used.]



Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education