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

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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Question
**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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