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2. Tell whether the function is an example of exponential growth or exponential decay. 49. f(x) = 5e-3x 50. f(x) = 5x 51. f(x) = e-4x 52. f(x) = ²x

2. Tell whether the function is an example of exponential growth or exponential decay. 49. f(x) = 5e-3x 50. f(x) = 5x 51. f(x) = e-4x 52. f(x) = ²x

Algebra and Trigonometry (6th Edition)
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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### Exponential Growth vs. Exponential Decay #### Instructions: Determine whether the given function is an example of exponential growth or exponential decay. 49. \( f(x) = 5e^{-3x} \) 50. \( f(x) = \frac{1}{8} e^{5x} \) 51. \( f(x) = e^{-4x} \) 52. \( f(x) = \frac{1}{6} e^{2x} \) Each function is formatted in terms of \( e \), the base of the natural logarithm. When determining the nature of these functions: - **Exponential growth** occurs if the exponent in the function is positive. - **Exponential decay** occurs if the exponent in the function is negative.
Transcribed Image Text:### Exponential Growth vs. Exponential Decay #### Instructions: Determine whether the given function is an example of exponential growth or exponential decay. 49. \( f(x) = 5e^{-3x} \) 50. \( f(x) = \frac{1}{8} e^{5x} \) 51. \( f(x) = e^{-4x} \) 52. \( f(x) = \frac{1}{6} e^{2x} \) Each function is formatted in terms of \( e \), the base of the natural logarithm. When determining the nature of these functions: - **Exponential growth** occurs if the exponent in the function is positive. - **Exponential decay** occurs if the exponent in the function is negative.
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