Homework Help is Here – Start Your Trial Now!
Math
Algebra
10. p(x)=- D = R = -3x+7 if x ≤3 x if 3 < x < 5 -1 if x ≥ 5

10. p(x)=- D = R = -3x+7 if x ≤3 x if 3 < x < 5 -1 if x ≥ 5

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,...
See similar textbooks
icon
Related questions
Question
I just need question 10
### Piecewise Functions and Graphing This educational resource focuses on piecewise functions and their graphical representations. It includes examples, practice problems, and graphs to illustrate how piecewise functions are defined and interpreted. #### Example Problems **9. Function \( h(x) \):** \[ h(x) = \begin{cases} \frac{4}{3}x - 2 & \text{if } x < 0 \\ -x + 1 & \text{if } x \geq 0 \end{cases} \] - **D =** (Domain) - **R =** (Range) **10. Function \( p(x) \):** \[ p(x) = \begin{cases} -3x + 7 & \text{if } x \leq 3 \\ x & \text{if } 3 < x < 5 \\ -1 & \text{if } x \geq 5 \end{cases} \] - **D =** (Domain) - **R =** (Range) **11. Function \( k(x) \):** \[ k(x) = \begin{cases} x + 4 & \text{if } x < -1 \\ 5 & \text{if } -1 \leq x < 2 \\ -\frac{1}{2}x + 1 & \text{if } x \geq 2 \end{cases} \] - **D =** (Domain) - **R =** (Range) #### Graphs - Each function is accompanied by an empty graph grid provided for students to plot the piecewise functions. - These grids are structured with Cartesian coordinates (x and y-axes) marked along the edges. Arrows indicate positive direction for both axes. #### Exercises Below the example problems, there is a set of empty graph grids for students to practice graphing additional piecewise functions. Each grid is meant to foster understanding and strengthen skills in interpreting and sketching piecewise-defined functions. This section emphasizes understanding the specific conditions under which each piece of the function applies and visualizing the transitions between different pieces.
Transcribed Image Text:### Piecewise Functions and Graphing This educational resource focuses on piecewise functions and their graphical representations. It includes examples, practice problems, and graphs to illustrate how piecewise functions are defined and interpreted. #### Example Problems **9. Function \( h(x) \):** \[ h(x) = \begin{cases} \frac{4}{3}x - 2 & \text{if } x < 0 \\ -x + 1 & \text{if } x \geq 0 \end{cases} \] - **D =** (Domain) - **R =** (Range) **10. Function \( p(x) \):** \[ p(x) = \begin{cases} -3x + 7 & \text{if } x \leq 3 \\ x & \text{if } 3 < x < 5 \\ -1 & \text{if } x \geq 5 \end{cases} \] - **D =** (Domain) - **R =** (Range) **11. Function \( k(x) \):** \[ k(x) = \begin{cases} x + 4 & \text{if } x < -1 \\ 5 & \text{if } -1 \leq x < 2 \\ -\frac{1}{2}x + 1 & \text{if } x \geq 2 \end{cases} \] - **D =** (Domain) - **R =** (Range) #### Graphs - Each function is accompanied by an empty graph grid provided for students to plot the piecewise functions. - These grids are structured with Cartesian coordinates (x and y-axes) marked along the edges. Arrows indicate positive direction for both axes. #### Exercises Below the example problems, there is a set of empty graph grids for students to practice graphing additional piecewise functions. Each grid is meant to foster understanding and strengthen skills in interpreting and sketching piecewise-defined functions. This section emphasizes understanding the specific conditions under which each piece of the function applies and visualizing the transitions between different pieces.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS