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,...
Related questions
Question
Graphing the piece linear function
![The image contains a piecewise function defined as follows:
\[
f(x) =
\begin{cases}
-x + 1 & \text{for } x \geq 0 \\
x + 3 & \text{for } x < 0
\end{cases}
\]
This function is divided into two parts based on the value of \( x \):
1. For \( x \geq 0 \), the function is \( f(x) = -x + 1 \).
2. For \( x < 0 \), the function is \( f(x) = x + 3 \).
Piecewise functions like this are used to define multiple behaviors for a function based on different intervals of the independent variable, \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae770780-d35b-4f1e-a6dc-f7e07f373bd8%2F04f9098b-8642-4fab-ac94-11fea01d6ee5%2Ftod2hd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a piecewise function defined as follows:
\[
f(x) =
\begin{cases}
-x + 1 & \text{for } x \geq 0 \\
x + 3 & \text{for } x < 0
\end{cases}
\]
This function is divided into two parts based on the value of \( x \):
1. For \( x \geq 0 \), the function is \( f(x) = -x + 1 \).
2. For \( x < 0 \), the function is \( f(x) = x + 3 \).
Piecewise functions like this are used to define multiple behaviors for a function based on different intervals of the independent variable, \( x \).
Expert Solution
Step 1
- A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.
Step by step
Solved in 3 steps with 2 images
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