Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f(-2)=? f(2)=? (Use interval notation.) b. The range is (Use interval notation.) c. Select the correct choice below and fill in any answer boxes within your choice. a. The domain is OA. The x-intercept(s) is (are) (Type an integer. Use a comma to separate answers as needed.) OB. There is no x-intercept d. Select the correct choice below and fill in any answer boxes within your choice. OA. The y-intercept is OB. There is no y-intercept. e. f(-2)= f(2)= (Type an integer.)
Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below. f(-2)=? f(2)=? (Use interval notation.) b. The range is (Use interval notation.) c. Select the correct choice below and fill in any answer boxes within your choice. a. The domain is OA. The x-intercept(s) is (are) (Type an integer. Use a comma to separate answers as needed.) OB. There is no x-intercept d. Select the correct choice below and fill in any answer boxes within your choice. OA. The y-intercept is OB. There is no y-intercept. e. f(-2)= f(2)= (Type an integer.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 20E
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![## Analyzing Graph Functions
### Instructions
Use the graph to determine:
a. The function's domain.
b. The function's range.
c. The x-intercepts, if any, and the y-intercept, if any.
d. The missing function values as indicated by the question marks below.
The function given is:
\[ f(-2) = ? \quad f(2) = ? \]
### Graph
The graph provided is a parabola that opens downwards with its vertex at \((0, 5)\) and its x-intercepts at \((-5, 0)\) and \((5, 0)\).
### Questions
#### a. The domain is \[ \_\_\_\_ \] (Use interval notation.)
#### b. The range is \[ \_\_\_\_ \] (Use interval notation.)
#### c. Select the correct choice below and fill in any answer boxes within your choice.
\[
\textcircled{A}. \text{The x-intercept(s) is (are) } \_\_\_\_ \ (Type an integer. Use a comma to separate answers as needed.)
\]
\[
\textcircled{B}. \text{ There is no x-intercept.}
\]
#### d. Select the correct choice below and fill in any answer boxes within your choice.
\[
\textcircled{A}. \text{ The y-intercept is } \_\_\_\_ \quad (Type an integer.)
\]
\[
\textcircled{B}. \text{ There is no y-intercept.}
\]
#### e. \(f(-2) = \_\_\_\_ \)
\[ f(2) = \_\_\_\_ \]
### Graph Explanation
- **X-Intercepts**: The graph crosses the x-axis at points \((-5, 0)\) and \((5, 0)\).
- **Y-Intercept**: The graph crosses the y-axis at \( (0, 5) \).
- **Vertex**: The highest point on the graph is at \((0, 5)\), indicating that the graph opens downwards.
- **Domain**: The graph extends indefinitely along the x-axis, indicating that the domain is all real numbers, \((-\infty, +\infty)\).
- **Range**: Because the vertex is at \( (0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66c67e03-2fde-4c21-adb6-231ac5c2058e%2Fcfc87029-afc7-4d51-a5e9-d74b58971946%2Fc1211dl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Analyzing Graph Functions
### Instructions
Use the graph to determine:
a. The function's domain.
b. The function's range.
c. The x-intercepts, if any, and the y-intercept, if any.
d. The missing function values as indicated by the question marks below.
The function given is:
\[ f(-2) = ? \quad f(2) = ? \]
### Graph
The graph provided is a parabola that opens downwards with its vertex at \((0, 5)\) and its x-intercepts at \((-5, 0)\) and \((5, 0)\).
### Questions
#### a. The domain is \[ \_\_\_\_ \] (Use interval notation.)
#### b. The range is \[ \_\_\_\_ \] (Use interval notation.)
#### c. Select the correct choice below and fill in any answer boxes within your choice.
\[
\textcircled{A}. \text{The x-intercept(s) is (are) } \_\_\_\_ \ (Type an integer. Use a comma to separate answers as needed.)
\]
\[
\textcircled{B}. \text{ There is no x-intercept.}
\]
#### d. Select the correct choice below and fill in any answer boxes within your choice.
\[
\textcircled{A}. \text{ The y-intercept is } \_\_\_\_ \quad (Type an integer.)
\]
\[
\textcircled{B}. \text{ There is no y-intercept.}
\]
#### e. \(f(-2) = \_\_\_\_ \)
\[ f(2) = \_\_\_\_ \]
### Graph Explanation
- **X-Intercepts**: The graph crosses the x-axis at points \((-5, 0)\) and \((5, 0)\).
- **Y-Intercept**: The graph crosses the y-axis at \( (0, 5) \).
- **Vertex**: The highest point on the graph is at \((0, 5)\), indicating that the graph opens downwards.
- **Domain**: The graph extends indefinitely along the x-axis, indicating that the domain is all real numbers, \((-\infty, +\infty)\).
- **Range**: Because the vertex is at \( (0
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