a) f(x)=−3x b) f(x)=3x+1 c) f(x)=3x d) f(x)=x3 e) f(x)=3−x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a) f(x)=−3x
b) f(x)=3x+1
c) f(x)=3x
d) f(x)=x3
e) f(x)=3−x
**Question 5**

Which of the following functions corresponds with the graph below?

**Graph Description:**

The graph illustrates an exponential curve. Key features of the graph include:

- The curve is rising steeply, indicating exponential growth.
- The graph passes through the points (0, 1) and (1, 3), both marked by blue dots.
- The x-axis ranges from -3 to 3, while the y-axis ranges from 0 to 6.
- Notably, the curve exhibits a gradual incline for x-values less than 0 and steepens sharply after x = 0.

The graph is likely representing an exponential function, with the specific points suggesting a function of the form \(y = a^x\), where \(a\) is greater than 1. The point (1, 3) indicates that when \(x = 1\), \(y = 3\), which can help identify the specific function.
Transcribed Image Text:**Question 5** Which of the following functions corresponds with the graph below? **Graph Description:** The graph illustrates an exponential curve. Key features of the graph include: - The curve is rising steeply, indicating exponential growth. - The graph passes through the points (0, 1) and (1, 3), both marked by blue dots. - The x-axis ranges from -3 to 3, while the y-axis ranges from 0 to 6. - Notably, the curve exhibits a gradual incline for x-values less than 0 and steepens sharply after x = 0. The graph is likely representing an exponential function, with the specific points suggesting a function of the form \(y = a^x\), where \(a\) is greater than 1. The point (1, 3) indicates that when \(x = 1\), \(y = 3\), which can help identify the specific function.
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