Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
### Determining the Domain and Range of a Function

#### Graph Analysis:

In this graph, several blue points are plotted on a coordinate plane to represent specific values of a function. The x-axis and y-axis range from -5 to 5 in their respective directions. 

#### Points on the Graph:
- `(-3, -4)`
- `(-3, 4)`
- `(-1, 3)`
- `(0, 0)`
- `(2, 2)`
- `(2, -1)`

#### Domain and Range:

- **Domain:** The domain of a function represents all the possible \( x \)-values. From the graph, these are the \( x \)-coordinates of all the plotted points.

    **Domain:** \(-3, -1, 0, 2\)

- **Range:** The range of a function represents all the possible \( y \)-values. From the graph, these are the \( y \)-coordinates of all the plotted points.

    **Range:** \(-4, -1, 0, 2, 3, 4\)

#### Observations:

- The function has distinct values at six different points.
- It is important to note that the same \( x \)-value can have multiple \( y \)-values, as seen from the points \((-3, -4)\) and \((-3, 4)\) or \((2, 2)\) and \((2, -1)\).

This analysis helps in understanding how the function behaves across different input values and the set of outputs it produces. 

#### Part 1 of 2

*Please refer to the subsequent parts for more detailed explanations and applications.*
Transcribed Image Text:### Determining the Domain and Range of a Function #### Graph Analysis: In this graph, several blue points are plotted on a coordinate plane to represent specific values of a function. The x-axis and y-axis range from -5 to 5 in their respective directions. #### Points on the Graph: - `(-3, -4)` - `(-3, 4)` - `(-1, 3)` - `(0, 0)` - `(2, 2)` - `(2, -1)` #### Domain and Range: - **Domain:** The domain of a function represents all the possible \( x \)-values. From the graph, these are the \( x \)-coordinates of all the plotted points. **Domain:** \(-3, -1, 0, 2\) - **Range:** The range of a function represents all the possible \( y \)-values. From the graph, these are the \( y \)-coordinates of all the plotted points. **Range:** \(-4, -1, 0, 2, 3, 4\) #### Observations: - The function has distinct values at six different points. - It is important to note that the same \( x \)-value can have multiple \( y \)-values, as seen from the points \((-3, -4)\) and \((-3, 4)\) or \((2, 2)\) and \((2, -1)\). This analysis helps in understanding how the function behaves across different input values and the set of outputs it produces. #### Part 1 of 2 *Please refer to the subsequent parts for more detailed explanations and applications.*
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning