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9. {(-3,1), (-2,-1), (1,1), (1,-1), (2,2)} (2 marks) a) write the domai…

Question

  1. {(-3,1), (-2,-1), (1,1), (1,-1), (2,2)} (2 marks)

a) write the domain and range of the relation above.
b) is the relation a function?

  1. a. d: ________

r: ________
b. ________

Explanation:

Step1: Identify domain values

The domain is the set of all x-values from the ordered pairs: $\{-3, -2, -1, 1, 2\}$

Step2: Identify range values

The range is the set of all y-values from the ordered pairs: $\{1, -1, 2\}$

Step3: Check function validity

A relation is a function if each x-value maps to only one y-value. All x-values here have unique y-values.

Answer:

  1. a. D: $\boldsymbol{\{-3, -2, -1, 1, 2\}}$

R: $\boldsymbol{\{1, -1, 2\}}$
b. $\boldsymbol{Yes}$