The table represents an exponential function with a horizontal asymptote at y = –1. x -3 -2 -1 0 1 2 3 y 80 26 8 2 0 -2/3 -8/9 Create a graph of the function and use it to answer the questions. Part A: What is the end behavior of the function? Explain your reasoning. Part B: What are the positive and negative intervals? Explain your reasoning. Part C: What is the percent rate of change? Show all necessary calculations. Part D: What are the domain and range?
The table represents an exponential function with a horizontal asymptote at y = –1. x -3 -2 -1 0 1 2 3 y 80 26 8 2 0 -2/3 -8/9 Create a graph of the function and use it to answer the questions. Part A: What is the end behavior of the function? Explain your reasoning. Part B: What are the positive and negative intervals? Explain your reasoning. Part C: What is the percent rate of change? Show all necessary calculations. Part D: What are the domain and range?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The table represents an exponential function with a horizontal asymptote at y = –1.
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| y | 80 | 26 | 8 | 2 | 0 | -2/3 | -8/9 |
Create a graph of the function and use it to answer the questions.
Part A: What is the end behavior of the function? Explain your reasoning.
Part B: What are the positive and negative intervals? Explain your reasoning.
Part C: What is the percent rate of change? Show all necessary calculations.
Part D: What are the domain and range?
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