Characteristics of Exponential Functions 11 Use the graph to write the function rule. How do you know you are correct?

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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**Characteristics of Exponential Functions**

**Image Description:**
A graph is shown on a coordinate plane. The x-axis ranges from -1 to 4, and the y-axis ranges from -2 to 24. The curve on the graph is decreasing exponentially as it moves rightward along the x-axis. Three specific points are highlighted: (0, 16), (1, 8), and (2, 4). The curve starts at the top left and gets closer to the x-axis but never touches it (asymptotic behavior).

Use the graph to write the function rule. How do you know you are correct?

[Input Box for Entering Answer]

Explanation of the graph:

The graph represents an exponential decay function. The highlighted points indicate the curve’s passage through (0, 16), (1, 8), and (2, 4), illustrating the classic rapid decrease characteristic of exponential decay. By identifying the pattern and the specific values, you can derive the function rule.
Transcribed Image Text:**Characteristics of Exponential Functions** **Image Description:** A graph is shown on a coordinate plane. The x-axis ranges from -1 to 4, and the y-axis ranges from -2 to 24. The curve on the graph is decreasing exponentially as it moves rightward along the x-axis. Three specific points are highlighted: (0, 16), (1, 8), and (2, 4). The curve starts at the top left and gets closer to the x-axis but never touches it (asymptotic behavior). Use the graph to write the function rule. How do you know you are correct? [Input Box for Entering Answer] Explanation of the graph: The graph represents an exponential decay function. The highlighted points indicate the curve’s passage through (0, 16), (1, 8), and (2, 4), illustrating the classic rapid decrease characteristic of exponential decay. By identifying the pattern and the specific values, you can derive the function rule.
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