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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. ←

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Question
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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