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The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation. (0,0) (0,0) (0,0) (a) domain = (b) range = (0,0) Ø OUD 8 -8 Example Previous Next

The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation. (0,0) (0,0) (0,0) (a) domain = (b) range = (0,0) Ø OUD 8 -8 Example Previous Next

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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**Determining the Domain and Range of Function h** The entire graph of the function \( h \) is shown in the figure below. Write the domain and range of \( h \) using interval notation. ### Graph Description: The graph displays a downward-facing parabolic curve that opens below, starting at approximately \( ( -5, 3 ) \) on the left and ending at approximately \( ( 2, -5 ) \) on the right. The specific points at the ends of the graph are clearly marked with closed circles, indicating they are included in the graph of the function. ### Instructions: Use the information from the graph to determine the domain and range for the function \( h \). ### Definitions: - **Domain:** The set of all possible input values (x-values) that the function can accept. - **Range:** The set of all possible output values (y-values) that the function can produce. ### Analysis: From the graph: - **Domain:** The graph starts at \( x = -5 \) and ends at \( x = 2 \). - Thus, the domain in interval notation is: \( [-5, 2] \). - **Range:** The graph reaches the highest point at \( h(-5) = 3 \) and the lowest point at \( h(2) = -5 \). - Thus, the range in interval notation is: \( [-5, 3] \). ### Conclusion: The domain and range of the function \( h \) are as follows: - (a) **Domain** = \( [-5, 2] \) - (b) **Range** = \( [-5, 3] \) Feel free to attempt the questions on your own using the provided graph before checking the solutions. This will help reinforce your understanding of determining domains and ranges from graphs.
Transcribed Image Text:**Determining the Domain and Range of Function h** The entire graph of the function \( h \) is shown in the figure below. Write the domain and range of \( h \) using interval notation. ### Graph Description: The graph displays a downward-facing parabolic curve that opens below, starting at approximately \( ( -5, 3 ) \) on the left and ending at approximately \( ( 2, -5 ) \) on the right. The specific points at the ends of the graph are clearly marked with closed circles, indicating they are included in the graph of the function. ### Instructions: Use the information from the graph to determine the domain and range for the function \( h \). ### Definitions: - **Domain:** The set of all possible input values (x-values) that the function can accept. - **Range:** The set of all possible output values (y-values) that the function can produce. ### Analysis: From the graph: - **Domain:** The graph starts at \( x = -5 \) and ends at \( x = 2 \). - Thus, the domain in interval notation is: \( [-5, 2] \). - **Range:** The graph reaches the highest point at \( h(-5) = 3 \) and the lowest point at \( h(2) = -5 \). - Thus, the range in interval notation is: \( [-5, 3] \). ### Conclusion: The domain and range of the function \( h \) are as follows: - (a) **Domain** = \( [-5, 2] \) - (b) **Range** = \( [-5, 3] \) Feel free to attempt the questions on your own using the provided graph before checking the solutions. This will help reinforce your understanding of determining domains and ranges from graphs.
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