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.]
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,...
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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.]
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