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# Domain and Range from the Graph of a Continuous Function ## Introduction The entire graph of the function \( h \) is shown in the figure below. Your task is to determine the domain and range of \( h \) using interval notation. ## Graph Description The graph is a two-dimensional plot featuring a continuous curve that represents the function \( h \). The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. ### Key Points: - The curve begins at approximately (-3, -2) and ends at (4, 4), with an open circle at the endpoint (indicating that point is not included in the graph). ### Axes: - The x-axis (horizontal) and y-axis (vertical) are both labeled with tick marks at each integer value between -5 and 5. ## Instructions 1. **Determine the Domain:** The domain of a function is the complete set of possible input values (x-values) for the function, as seen on the graph. 2. **Determine the Range:** The range of a function is the complete set of possible output values (y-values) for the function, as graphed. ## Answers Section ### (a) Domain = \([-3, 4)\) ### (b) Range = \([-2, 4)\) - The answer boxes are provided to input the domain and range using interval notation. The graph indicates the function starts at \( x = -3 \) and ends at \( x = 4 \) (not included), and the values for \( y \) range between -2 and 4 (not included). ## Interactive Elements - **Explanation Button:** Offers detailed steps on determining domain and range. - **Check Button:** Allows you to verify the chosen intervals are correct. Use this guidance to analyze and understand the function \( h \), recognizing how its graphical representation describes its domain and range.

# Domain and Range from the Graph of a Continuous Function ## Introduction The entire graph of the function \( h \) is shown in the figure below. Your task is to determine the domain and range of \( h \) using interval notation. ## Graph Description The graph is a two-dimensional plot featuring a continuous curve that represents the function \( h \). The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. ### Key Points: - The curve begins at approximately (-3, -2) and ends at (4, 4), with an open circle at the endpoint (indicating that point is not included in the graph). ### Axes: - The x-axis (horizontal) and y-axis (vertical) are both labeled with tick marks at each integer value between -5 and 5. ## Instructions 1. **Determine the Domain:** The domain of a function is the complete set of possible input values (x-values) for the function, as seen on the graph. 2. **Determine the Range:** The range of a function is the complete set of possible output values (y-values) for the function, as graphed. ## Answers Section ### (a) Domain = \([-3, 4)\) ### (b) Range = \([-2, 4)\) - The answer boxes are provided to input the domain and range using interval notation. The graph indicates the function starts at \( x = -3 \) and ends at \( x = 4 \) (not included), and the values for \( y \) range between -2 and 4 (not included). ## Interactive Elements - **Explanation Button:** Offers detailed steps on determining domain and range. - **Check Button:** Allows you to verify the chosen intervals are correct. Use this guidance to analyze and understand the function \( h \), recognizing how its graphical representation describes its domain and range.

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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# Domain and Range from the Graph of a Continuous Function ## Introduction The entire graph of the function \( h \) is shown in the figure below. Your task is to determine the domain and range of \( h \) using interval notation. ## Graph Description The graph is a two-dimensional plot featuring a continuous curve that represents the function \( h \). The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. ### Key Points: - The curve begins at approximately (-3, -2) and ends at (4, 4), with an open circle at the endpoint (indicating that point is not included in the graph). ### Axes: - The x-axis (horizontal) and y-axis (vertical) are both labeled with tick marks at each integer value between -5 and 5. ## Instructions 1. **Determine the Domain:** The domain of a function is the complete set of possible input values (x-values) for the function, as seen on the graph. 2. **Determine the Range:** The range of a function is the complete set of possible output values (y-values) for the function, as graphed. ## Answers Section ### (a) Domain = \([-3, 4)\) ### (b) Range = \([-2, 4)\) - The answer boxes are provided to input the domain and range using interval notation. The graph indicates the function starts at \( x = -3 \) and ends at \( x = 4 \) (not included), and the values for \( y \) range between -2 and 4 (not included). ## Interactive Elements - **Explanation Button:** Offers detailed steps on determining domain and range. - **Check Button:** Allows you to verify the chosen intervals are correct. Use this guidance to analyze and understand the function \( h \), recognizing how its graphical representation describes its domain and range.
Transcribed Image Text:# Domain and Range from the Graph of a Continuous Function ## Introduction The entire graph of the function \( h \) is shown in the figure below. Your task is to determine the domain and range of \( h \) using interval notation. ## Graph Description The graph is a two-dimensional plot featuring a continuous curve that represents the function \( h \). The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. ### Key Points: - The curve begins at approximately (-3, -2) and ends at (4, 4), with an open circle at the endpoint (indicating that point is not included in the graph). ### Axes: - The x-axis (horizontal) and y-axis (vertical) are both labeled with tick marks at each integer value between -5 and 5. ## Instructions 1. **Determine the Domain:** The domain of a function is the complete set of possible input values (x-values) for the function, as seen on the graph. 2. **Determine the Range:** The range of a function is the complete set of possible output values (y-values) for the function, as graphed. ## Answers Section ### (a) Domain = \([-3, 4)\) ### (b) Range = \([-2, 4)\) - The answer boxes are provided to input the domain and range using interval notation. The graph indicates the function starts at \( x = -3 \) and ends at \( x = 4 \) (not included), and the values for \( y \) range between -2 and 4 (not included). ## Interactive Elements - **Explanation Button:** Offers detailed steps on determining domain and range. - **Check Button:** Allows you to verify the chosen intervals are correct. Use this guidance to analyze and understand the function \( h \), recognizing how its graphical representation describes its domain and range.
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Step 1

Domain is the possible values of x. Here the possible values of x are (-3,5)

The range is the possible values of y. Here the possible values of y are (-4,3)

 

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