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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

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
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...
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### 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.*
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