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
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a47fda9-061f-451e-94e6-6988f38e6732%2F1a786604-52d1-486f-ae50-09eb4f2e0aad%2Fbcds5t_processed.jpeg&w=3840&q=75)
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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