The graph of an exponential function is given. Match the graph to one of the following functions.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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**Question 6**

The graph of an exponential function is given. Match the graph to one of the following functions:

- A: \( y = 4^x \)
- B: \( y = 4^{-x+2} \)
- C: \( y = 4^{x+2} \)
- D: \( y = 4^{-x} \)

**Graph Description:**

The graph displayed is an exponential curve. It shows a decreasing trend from left to right, approaching zero but never touching the x-axis, which indicates a horizontal asymptote at \( y = 0 \). The curve intersects the y-axis above the origin. This behavior is characteristic of an exponential decay function.

Given the options and the behavior of the graph, the suitable function would likely be one with a negative exponent, indicating decay rather than growth.
Transcribed Image Text:**Question 6** The graph of an exponential function is given. Match the graph to one of the following functions: - A: \( y = 4^x \) - B: \( y = 4^{-x+2} \) - C: \( y = 4^{x+2} \) - D: \( y = 4^{-x} \) **Graph Description:** The graph displayed is an exponential curve. It shows a decreasing trend from left to right, approaching zero but never touching the x-axis, which indicates a horizontal asymptote at \( y = 0 \). The curve intersects the y-axis above the origin. This behavior is characteristic of an exponential decay function. Given the options and the behavior of the graph, the suitable function would likely be one with a negative exponent, indicating decay rather than growth.
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