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4. Is the function below increasing or decreasing? * F(x) = 45

4. Is the function below increasing or decreasing? * F(x) = 45

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Evaluating Function Trend #### Question 4: **Is the function below increasing or decreasing?** \[ F(x) = \left(\frac{4}{5}\right)^x \] --- This section is found on Page 1 of 3 of the provided document. There may be more questions (specifically 7-10) which were not included in this excerpt. To determine if the function \[ F(x) = \left(\frac{4}{5}\right)^x \] is increasing or decreasing, consider the following: - The base of the exponential function, \(\frac{4}{5}\), is a fraction less than 1. - In general, if the base of the exponential function \(a^x\) is between 0 and 1 ( \(0 < a < 1\) ), the function is decreasing. Therefore, since \(\frac{4}{5}\) is less than 1, the function \[ F(x) = \left(\frac{4}{5}\right)^x \] is decreasing.
Transcribed Image Text:### Evaluating Function Trend #### Question 4: **Is the function below increasing or decreasing?** \[ F(x) = \left(\frac{4}{5}\right)^x \] --- This section is found on Page 1 of 3 of the provided document. There may be more questions (specifically 7-10) which were not included in this excerpt. To determine if the function \[ F(x) = \left(\frac{4}{5}\right)^x \] is increasing or decreasing, consider the following: - The base of the exponential function, \(\frac{4}{5}\), is a fraction less than 1. - In general, if the base of the exponential function \(a^x\) is between 0 and 1 ( \(0 < a < 1\) ), the function is decreasing. Therefore, since \(\frac{4}{5}\) is less than 1, the function \[ F(x) = \left(\frac{4}{5}\right)^x \] is decreasing.
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