The table represents an exponential function with a horizontal asymptote at y = –3. x –3 –2 –1 0 1 2 3 y 372 72 12 0 –2.4 –2.88 –2.976 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 = –3. x –3 –2 –1 0 1 2 3 y 372 72 12 0 –2.4 –2.88 –2.976 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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Question
The table represents an exponential function with a horizontal asymptote at y = –3.
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| y | 372 | 72 | 12 | 0 | –2.4 | –2.88 | –2.976 |
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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