Use the graph below to identify the domain and range of the function. Use either interval notation or set notation for each. 6 5 -4- 3 -2 -1- -7-6 -5 -4 -3 -2 -1 0 -1- -2 -3 -4 -5 -6- Domain: (-inf,inf) 1 2 3 4 OF 5 6 7 P Range: type your answer...

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.7: Functions
Problem 59PFA
icon
Related questions
Question
### Identifying the Domain and Range of a Function Using a Graph

Use the graph below to identify the domain and range of the function. Use either interval notation or set notation for each.

![Graph of the function](image-url) (Note: The graph will be explained in detail below.)

#### Graph Explanation:
- The graph shows a downward-opening parabola.
- The highest point on the graph (the vertex) is at (0, 7).
- The graph extends indefinitely downwards along the y-axis.

#### Domain:
The domain of a function is the complete set of possible input values (x-values) that the function can accept. 

**Observing the graph:** The parabola extends infinitely in the left and right directions, covering all x-values.

**Domain in interval notation:** \((-∞, ∞)\)

#### Range:
The range of a function is the complete set of possible output values (y-values) that the function can produce.

**Observing the graph:** The highest point on the graph is 7, and the parabola extends infinitely downwards. Therefore, the y-values start from -∞ and go up to 7.

**Range in interval notation:**  \((−∞, 7]\)

---

**Domain:** \(\left(-\infty, \infty\right)\)

**Range:*** \(\left(-\infty, 7\right]\)

---

Use this information to understand the behavior and output of the function presented in the graph.
Transcribed Image Text:### Identifying the Domain and Range of a Function Using a Graph Use the graph below to identify the domain and range of the function. Use either interval notation or set notation for each. ![Graph of the function](image-url) (Note: The graph will be explained in detail below.) #### Graph Explanation: - The graph shows a downward-opening parabola. - The highest point on the graph (the vertex) is at (0, 7). - The graph extends indefinitely downwards along the y-axis. #### Domain: The domain of a function is the complete set of possible input values (x-values) that the function can accept. **Observing the graph:** The parabola extends infinitely in the left and right directions, covering all x-values. **Domain in interval notation:** \((-∞, ∞)\) #### Range: The range of a function is the complete set of possible output values (y-values) that the function can produce. **Observing the graph:** The highest point on the graph is 7, and the parabola extends infinitely downwards. Therefore, the y-values start from -∞ and go up to 7. **Range in interval notation:** \((−∞, 7]\) --- **Domain:** \(\left(-\infty, \infty\right)\) **Range:*** \(\left(-\infty, 7\right]\) --- Use this information to understand the behavior and output of the function presented in the graph.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt