Use the graph of h(x) below to answer the following parts for number 13. 13) 13d) (-5-5) 13e) (4.4) (3,0) fer ++ (1 a. State the domain of the function h(x) b. State the range of the function h(x) 13a) 2013b) c. State the intervals along which h(x) is increasing, decreasing, and/or constant. 13c) Increasing: Decreasing: Constant: d. Determine h(0). e. Determine h(-5). f. Determine x for h(x) = 0. (8 13f) GIT

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,...
icon
Related questions
Question
**Graph of Function \( h(x) \) and Analysis**

**Graph Description:**
The image contains a graph of the function \( h(x) \) shown on a Cartesian plane. The graph consists of three main line segments connecting the following points:
- From (-5, -5) to (-3, -4)
- From (-3, -4) to (0, 4)
- From (0, 4) to (3, 9)
- From (3, 9) to (4, 4)

**Questions:**

a. State the domain of the function \( h(x) \).  
13a) ___________________________

b. State the range of the function \( h(x) \).  
13b) ___________________________

c. State the intervals along which \( h(x) \) is increasing, decreasing, and/or constant.  
13c) Increasing: ____________________   
Decreasing: ____________________   
Constant: ____________________

d. Determine \( h(0) \).  
13d) ___________________________

e. Determine \( h(-5) \).  
13e) ___________________________

f. Determine \( x \) for \( h(x) = 0 \).  
13f) ___________________________

**Instructions for Educators:**
Use this exercise to help students identify domain and range, as well as intervals of increase, decrease, and constancy. Encourage students to apply their understanding of reading and interpreting graphs to answer the questions.
Transcribed Image Text:**Graph of Function \( h(x) \) and Analysis** **Graph Description:** The image contains a graph of the function \( h(x) \) shown on a Cartesian plane. The graph consists of three main line segments connecting the following points: - From (-5, -5) to (-3, -4) - From (-3, -4) to (0, 4) - From (0, 4) to (3, 9) - From (3, 9) to (4, 4) **Questions:** a. State the domain of the function \( h(x) \). 13a) ___________________________ b. State the range of the function \( h(x) \). 13b) ___________________________ c. State the intervals along which \( h(x) \) is increasing, decreasing, and/or constant. 13c) Increasing: ____________________ Decreasing: ____________________ Constant: ____________________ d. Determine \( h(0) \). 13d) ___________________________ e. Determine \( h(-5) \). 13e) ___________________________ f. Determine \( x \) for \( h(x) = 0 \). 13f) ___________________________ **Instructions for Educators:** Use this exercise to help students identify domain and range, as well as intervals of increase, decrease, and constancy. Encourage students to apply their understanding of reading and interpreting graphs to answer the questions.
Expert Solution
Step 1

Graph of the function hx is given,

We have to find its domain, range, increasing and decreasing intervals.

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
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