(3x+5, f (x) =. | if x 2 5 if xく5 ーx+ 3,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Refer to the following piecewise function.
f(-2) =
f(0) =
f(1) =
![The image shows a piecewise function defined as follows:
\[
f(x) =
\begin{cases}
3x + 5, & \text{if } x < 5 \\
-x + 3, & \text{if } x \geq 5
\end{cases}
\]
This indicates the function \(f(x)\) has two different expressions depending on the value of \(x\).
- For \(x < 5\), the function is defined as \(f(x) = 3x + 5\).
- For \(x \geq 5\), the function is defined as \(f(x) = -x + 3\).
There are no graphs or diagrams provided. The function can be interpreted visually as two linear pieces with different slopes and intercepts, joined at the point where \(x = 5\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8811c42a-f232-4f3d-9d9c-8c178415f935%2Fe7555002-9b28-4bc6-9294-b8dfa5372b09%2Fy7fsikk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a piecewise function defined as follows:
\[
f(x) =
\begin{cases}
3x + 5, & \text{if } x < 5 \\
-x + 3, & \text{if } x \geq 5
\end{cases}
\]
This indicates the function \(f(x)\) has two different expressions depending on the value of \(x\).
- For \(x < 5\), the function is defined as \(f(x) = 3x + 5\).
- For \(x \geq 5\), the function is defined as \(f(x) = -x + 3\).
There are no graphs or diagrams provided. The function can be interpreted visually as two linear pieces with different slopes and intercepts, joined at the point where \(x = 5\).
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