### 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

Answered: Image /qna-images/answer/3a05ed70-91eb-4a62-b206-5f313d9c0613.jpg

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)

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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Question

### 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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