The graph of a function h is given. y 3 2. -6 -5 -4 -3 -2 1 2 4 -21 -3 4 -5 (a) Find h(-2), h(0), h(2), and h(3). h(-2) = h(0) %3D h(2) h(3) = (b) Find the domain and range of h. (Enter your answers using interval notation.) domain range (c) Find the values of x for which h(x) = 3. (Enter your answers as a comma-separated list.) X = (d) Find the values of x for which h(x) s 3. O [2, 4] and -3 О (-3, 2) O (2, 4) О-3, 2, 4 O[-3, 2] and 4 (e) Find the net change inh between x = -3 and x = 3.
The graph of a function h is given. y 3 2. -6 -5 -4 -3 -2 1 2 4 -21 -3 4 -5 (a) Find h(-2), h(0), h(2), and h(3). h(-2) = h(0) %3D h(2) h(3) = (b) Find the domain and range of h. (Enter your answers using interval notation.) domain range (c) Find the values of x for which h(x) = 3. (Enter your answers as a comma-separated list.) X = (d) Find the values of x for which h(x) s 3. O [2, 4] and -3 О (-3, 2) O (2, 4) О-3, 2, 4 O[-3, 2] and 4 (e) Find the net change inh between x = -3 and x = 3.
Algebra and Trigonometry (6th Edition)
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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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![### Graph Analysis of Function \( h \)
A graph of the function \( h \) is provided on the coordinate plane, where the x-axis ranges from -6 to 6 and the y-axis ranges from -6 to 6. The function h appears as a red curve intersecting the y-axis.
#### Questions:
**(a) Find \( h(-2) \), \( h(0) \), \( h(2) \), and \( h(3) \).**
- \( h(-2) = \) [ ]
- \( h(0) = \) [ ]
- \( h(2) = \) [ ]
- \( h(3) = \) [ ]
**(b) Find the domain and range of \( h \). (Enter your answers using interval notation.)**
- Domain: [ ]
- Range: [ ]
**(c) Find the values of \( x \) for which \( h(x) = 3 \). (Enter your answers as a comma-separated list.)**
- \( x = \) [ ]
**(d) Find the values of \( x \) for which \( h(x) \leq 3 \).**
- [ ] \( [2, 4] \) and \( -3 \)
- [ ] \( (-3, 2) \)
- [ ] \( (2, 4) \)
- [ ] \( -3, 2, 4 \)
- [ ] \( [-3, 2] \) and 4
**(e) Find the net change in \( h \) between \( x = -3 \) and \( x = 3 \).**
- [ ]
#### Explanation of the Graph:
The graph is a typical representation of a function \( h \) over a specified range on the coordinate plane. Key points of interest include the coordinates where the function intersects or peaks (local maxima) and troughs (local minima):
1. **Horizontal & Vertical Axes**:
- The x-axis represents the domain values from \( -6 \) to \( 6 \).
- The y-axis represents the range values from \( -6 \) to \( 6 \).
2. **Key Points**: Identifying the values of \( h(x) \) at specified \( x \)-coordinates by locating the height of the curve at these points on the graph.
3. **Interval Notation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f4719ec-89c6-49f2-a8fd-c905fe776b01%2F3a05ed70-91eb-4a62-b206-5f313d9c0613%2Frh51brh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Graph Analysis of Function \( h \)
A graph of the function \( h \) is provided on the coordinate plane, where the x-axis ranges from -6 to 6 and the y-axis ranges from -6 to 6. The function h appears as a red curve intersecting the y-axis.
#### Questions:
**(a) Find \( h(-2) \), \( h(0) \), \( h(2) \), and \( h(3) \).**
- \( h(-2) = \) [ ]
- \( h(0) = \) [ ]
- \( h(2) = \) [ ]
- \( h(3) = \) [ ]
**(b) Find the domain and range of \( h \). (Enter your answers using interval notation.)**
- Domain: [ ]
- Range: [ ]
**(c) Find the values of \( x \) for which \( h(x) = 3 \). (Enter your answers as a comma-separated list.)**
- \( x = \) [ ]
**(d) Find the values of \( x \) for which \( h(x) \leq 3 \).**
- [ ] \( [2, 4] \) and \( -3 \)
- [ ] \( (-3, 2) \)
- [ ] \( (2, 4) \)
- [ ] \( -3, 2, 4 \)
- [ ] \( [-3, 2] \) and 4
**(e) Find the net change in \( h \) between \( x = -3 \) and \( x = 3 \).**
- [ ]
#### Explanation of the Graph:
The graph is a typical representation of a function \( h \) over a specified range on the coordinate plane. Key points of interest include the coordinates where the function intersects or peaks (local maxima) and troughs (local minima):
1. **Horizontal & Vertical Axes**:
- The x-axis represents the domain values from \( -6 \) to \( 6 \).
- The y-axis represents the range values from \( -6 \) to \( 6 \).
2. **Key Points**: Identifying the values of \( h(x) \) at specified \( x \)-coordinates by locating the height of the curve at these points on the graph.
3. **Interval Notation
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