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D = R = 11. k(x) = D=_ R = x +4 5 -x+1 2 if x < -1 if -1 < x < 2 if x ≥ 2 Write a piecewise function for each function graphed below. ←

D = R = 11. k(x) = D=_ R = x +4 5 -x+1 2 if x < -1 if -1 < x < 2 if x ≥ 2 Write a piecewise function for each function graphed below. ←

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 question 11
## Piecewise Functions and Graphs ### Problem Set #### 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 provided with axes marked but no visible plot.* #### 10. \( p(x) = \) \[ \begin{cases} -3x + 7 & \text{if } x \leq 3 \\ x & \text{if } 3 < x < 5 \\ -1 & \text{if } x \geq 5 \end{cases} \] - **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_ - **Range (R):** \_\_\_\_\_\_\_\_\_\_\_ *Graph provided with axes marked but no visible plot.* #### 11. \( k(x) = \) \[ \begin{cases} x + 4 & \text{if } x < -1 \\ 5 & \text{if } -1 < x < 2 \\ -\frac{1}{2}x + 1 & \text{if } x \geq 2 \end{cases} \] - **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_ - **Range (R):** \_\_\_\_\_\_\_\_\_\_\_ *Graph provided with axes marked but no visible plot.* ### Graphs #### 12-14. Write a piecewise function for each function graphed below. *The graphs are grids with marked axes but require student input to create piecewise functions.* The solutions require identifying the formulas and conditions for each line segment or point in the provided graphs and filling in the domain and range for given piecewise functions by analyzing the graphs and functions.
Transcribed Image Text:## Piecewise Functions and Graphs ### Problem Set #### 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 provided with axes marked but no visible plot.* #### 10. \( p(x) = \) \[ \begin{cases} -3x + 7 & \text{if } x \leq 3 \\ x & \text{if } 3 < x < 5 \\ -1 & \text{if } x \geq 5 \end{cases} \] - **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_ - **Range (R):** \_\_\_\_\_\_\_\_\_\_\_ *Graph provided with axes marked but no visible plot.* #### 11. \( k(x) = \) \[ \begin{cases} x + 4 & \text{if } x < -1 \\ 5 & \text{if } -1 < x < 2 \\ -\frac{1}{2}x + 1 & \text{if } x \geq 2 \end{cases} \] - **Domain (D):** \_\_\_\_\_\_\_\_\_\_\_ - **Range (R):** \_\_\_\_\_\_\_\_\_\_\_ *Graph provided with axes marked but no visible plot.* ### Graphs #### 12-14. Write a piecewise function for each function graphed below. *The graphs are grids with marked axes but require student input to create piecewise functions.* The solutions require identifying the formulas and conditions for each line segment or point in the provided graphs and filling in the domain and range for given piecewise functions by analyzing the graphs and functions.
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