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,...
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Just need questions 12, 13,and 14
![### Piecewise Functions Worksheet
#### Problem 9
Given the piecewise function \( h(x) \):
\[
h(x) =
\begin{cases}
3x - 2 & \text{if } x < 0 \\
-x + 1 & \text{if } x \geq 0
\end{cases}
\]
- **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_\_
- **Range (R):** \_\_\_\_\_\_\_\_\_\_\_\_
#### Problem 10
Given the piecewise function \( p(x) \):
\[
p(x) =
\begin{cases}
-3x + 7 & \text{if } x \leq 3 \\
-x & \text{if } 3 < x < 5 \\
-1 & \text{if } x \geq 5
\end{cases}
\]
- **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_\_
- **Range (R):** \_\_\_\_\_\_\_\_\_\_\_\_
#### Problem 11
Given the piecewise function \( k(x) \):
\[
k(x) =
\begin{cases}
x + 4 & \text{if } x < -1 \\
5 & \text{if } -1 \leq x < 2 \\
-\frac{1}{2}x + 1 & \text{if } x \geq 2
\end{cases}
\]
- **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_\_
- **Range (R):** \_\_\_\_\_\_\_\_\_\_\_\_
#### Graphs and Piecewise Function Description
**Problem 12**
- Graph has two sections:
- A line with a closed dot at approximately (-3, 0) continuing straight through (0, 3) with an open dot at (3, 6).
- Another line starting with a closed dot at (3, 6) and continuing upward.
**Problem 13**
- Graph has:
- A downward sloping line with closed dot at (-3, 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61a624e8-9805-4882-bd7c-8b439f9ba0a9%2F8d6712cf-fe19-4b9c-be5a-5f90e555df94%2Fdl9f4cq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Piecewise Functions Worksheet
#### Problem 9
Given the piecewise function \( h(x) \):
\[
h(x) =
\begin{cases}
3x - 2 & \text{if } x < 0 \\
-x + 1 & \text{if } x \geq 0
\end{cases}
\]
- **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_\_
- **Range (R):** \_\_\_\_\_\_\_\_\_\_\_\_
#### Problem 10
Given the piecewise function \( p(x) \):
\[
p(x) =
\begin{cases}
-3x + 7 & \text{if } x \leq 3 \\
-x & \text{if } 3 < x < 5 \\
-1 & \text{if } x \geq 5
\end{cases}
\]
- **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_\_
- **Range (R):** \_\_\_\_\_\_\_\_\_\_\_\_
#### Problem 11
Given the piecewise function \( k(x) \):
\[
k(x) =
\begin{cases}
x + 4 & \text{if } x < -1 \\
5 & \text{if } -1 \leq x < 2 \\
-\frac{1}{2}x + 1 & \text{if } x \geq 2
\end{cases}
\]
- **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_\_
- **Range (R):** \_\_\_\_\_\_\_\_\_\_\_\_
#### Graphs and Piecewise Function Description
**Problem 12**
- Graph has two sections:
- A line with a closed dot at approximately (-3, 0) continuing straight through (0, 3) with an open dot at (3, 6).
- Another line starting with a closed dot at (3, 6) and continuing upward.
**Problem 13**
- Graph has:
- A downward sloping line with closed dot at (-3, 3
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