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a. Write a set of ordered pairs that defines the relation. b. State the domain of the relation. c. State the range of the relation. d. State whether the relation is a function.

a. Write a set of ordered pairs that defines the relation. b. State the domain of the relation. c. State the range of the relation. d. State whether the relation is a function.

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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**Math 161 Test 2 Version 2 (76 points)** **Sections 1.3 – 1.8** **John Scalzo** ### Question 1: **Consider the relation as defined in the following table, which shows instruments and the players of each instrument in a local band. Consider the instrument as the dependent variable and the name of the player as the independent variable.** | Player | Instrument | |--------|------------| | John | Bass | | Mark | Drums | | Bob | Guitar | | Patty | Guitar | #### Tasks: a. Write a set of ordered pairs that defines the relation. b. State the domain of the relation. c. State the range of the relation. d. State whether the relation is a function. --- **Name:** *Clark Nelms* **Date:** October 04, 2021 **Page:** 1 --- **Consider the relation defined by the following set of points: \((5, 9), (2, 0), (-9, 5), (3, 7), (-6, 3)\).** --- ### Analysis: - **Ordered Pairs:** List the pairs as (Player, Instrument), such as (John, Bass). - **Domain:** Set of all 'Player' names. - **Range:** Set of all 'Instrument' types. - **Function Check:** Each player must be paired with exactly one instrument to confirm it is a function.
Transcribed Image Text:**Math 161 Test 2 Version 2 (76 points)** **Sections 1.3 – 1.8** **John Scalzo** ### Question 1: **Consider the relation as defined in the following table, which shows instruments and the players of each instrument in a local band. Consider the instrument as the dependent variable and the name of the player as the independent variable.** | Player | Instrument | |--------|------------| | John | Bass | | Mark | Drums | | Bob | Guitar | | Patty | Guitar | #### Tasks: a. Write a set of ordered pairs that defines the relation. b. State the domain of the relation. c. State the range of the relation. d. State whether the relation is a function. --- **Name:** *Clark Nelms* **Date:** October 04, 2021 **Page:** 1 --- **Consider the relation defined by the following set of points: \((5, 9), (2, 0), (-9, 5), (3, 7), (-6, 3)\).** --- ### Analysis: - **Ordered Pairs:** List the pairs as (Player, Instrument), such as (John, Bass). - **Domain:** Set of all 'Player' names. - **Range:** Set of all 'Instrument' types. - **Function Check:** Each player must be paired with exactly one instrument to confirm it is a function.
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