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x-2 if x < 0 -x+1 if x 20 9. h(x)=3 D=. R =

x-2 if x < 0 -x+1 if x 20 9. h(x)=3 D=. R =

Algebra and Trigonometry (6th Edition)
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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I just need questions 9 and 10
**Piecewise Function Exploration** **Problem 9:** \( h(x) = \begin{cases} \frac{4}{3}x - 2 & \text{if } x < 0 \\ -x + 1 & \text{if } x \geq 0 \end{cases} \) Domain (D) = Range (R) = *Graph*: The graph is divided into two sections based on the conditions \( x < 0 \) and \( x \geq 0 \). --- **Problem 10:** \( p(x) = \begin{cases} x & \text{if } 3 < x < 5 \\ -1 & \text{if } x \geq 5 \end{cases} \) Domain (D) = Range (R) = *Graph*: The graph is piecewise with two conditions: a linear section and a constant section. --- **Problem 11:** \( k(x) = \begin{cases} x + 4 & \text{if } x < -1 \\ 5 & \text{if } -1 \leq x < 2 \\ \frac{1}{2}x + 1 & \text{if } x \geq 2 \end{cases} \) Domain (D) = Range (R) = *Graph*: The graph consists of three segments: a linear function, a constant function, and another linear function for different intervals of \( x \). **Instructions:** Write a piecewise function for each function graphed based on the equations provided.
Transcribed Image Text:**Piecewise Function Exploration** **Problem 9:** \( h(x) = \begin{cases} \frac{4}{3}x - 2 & \text{if } x < 0 \\ -x + 1 & \text{if } x \geq 0 \end{cases} \) Domain (D) = Range (R) = *Graph*: The graph is divided into two sections based on the conditions \( x < 0 \) and \( x \geq 0 \). --- **Problem 10:** \( p(x) = \begin{cases} x & \text{if } 3 < x < 5 \\ -1 & \text{if } x \geq 5 \end{cases} \) Domain (D) = Range (R) = *Graph*: The graph is piecewise with two conditions: a linear section and a constant section. --- **Problem 11:** \( k(x) = \begin{cases} x + 4 & \text{if } x < -1 \\ 5 & \text{if } -1 \leq x < 2 \\ \frac{1}{2}x + 1 & \text{if } x \geq 2 \end{cases} \) Domain (D) = Range (R) = *Graph*: The graph consists of three segments: a linear function, a constant function, and another linear function for different intervals of \( x \). **Instructions:** Write a piecewise function for each function graphed based on the equations provided.
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