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Given the graph shown is an exponential function, what is most likely the asymptote of the function? -10 -8 -6-4-2 x=1 Oy=2 10 8 16 2 -2 ++ -4 -6 -8 -10 to 2 L 4 +6 too 8 10

Given the graph shown is an exponential function, what is most likely the asymptote of the function? -10 -8 -6-4-2 x=1 Oy=2 10 8 16 2 -2 ++ -4 -6 -8 -10 to 2 L 4 +6 too 8 10

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 Function Asymptote Identification **Question:** Given the graph shown is an exponential function, what is most likely the asymptote of the function? **Graph Explanation:** The graph provided is a plot of an exponential function characterized by a rapid decline as it approaches the x-axis from the negative x-direction and a horizontal leveling off as it moves toward the positive x-direction. **Details of the Graph:** - The x-axis ranges from -10 to 10. - The y-axis ranges from -10 to 10. - The blue curve starts at the top of the graph at a high positive y-value when x is negative. - As x increases, the curve sharply falls and then levels off heading towards the right. - The curve appears to approach, but not quite reach, a horizontal line. The horizontal line that the graph appears to be approaching but never actually touches is likely the asymptote of the function. It looks to be leveling off around y=2. **Multiple Choice Options:** - ○ x = 1 - ○ y = 2 - ○ y = 0 - ○ x = 3 **Answer:** The most likely asymptote of the function is the horizontal line **y = 2**.
Transcribed Image Text:### Exponential Function Asymptote Identification **Question:** Given the graph shown is an exponential function, what is most likely the asymptote of the function? **Graph Explanation:** The graph provided is a plot of an exponential function characterized by a rapid decline as it approaches the x-axis from the negative x-direction and a horizontal leveling off as it moves toward the positive x-direction. **Details of the Graph:** - The x-axis ranges from -10 to 10. - The y-axis ranges from -10 to 10. - The blue curve starts at the top of the graph at a high positive y-value when x is negative. - As x increases, the curve sharply falls and then levels off heading towards the right. - The curve appears to approach, but not quite reach, a horizontal line. The horizontal line that the graph appears to be approaching but never actually touches is likely the asymptote of the function. It looks to be leveling off around y=2. **Multiple Choice Options:** - ○ x = 1 - ○ y = 2 - ○ y = 0 - ○ x = 3 **Answer:** The most likely asymptote of the function is the horizontal line **y = 2**.
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