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QUESTION IMAGE

1. consider the relation \\{(1, 2), (2, 4), (5, 7), (7, 1), (9, 8)\\} i…

Question

  1. consider the relation \\{(1, 2), (2, 4), (5, 7), (7, 1), (9, 8)\\}

is this relation a function?
yes a no b

  1. consider the relation \\{(2, 2), (4, 9), (9, 8), (4, 4), (1, 3)\\}

is this relation a function?
yes a no b

  1. consider the relation \\{(8, 5), (7, 8), (9, 5), (5, 4), (4, 6)\\}

is this relation a function?
yes a no b

Explanation:

Step1: Check domain of relation 1

The domain (x-values) are $\{1, 2, 5, 7, 9\}$. All values are unique.

Step2: Check domain of relation 2

The domain (x-values) are $\{2, 4, 9, 4, 1\}$. The value $4$ repeats.

Step3: Check domain of relation 3

The domain (x-values) are $\{8, 7, 9, 5, 4\}$. All values are unique.

Answer:

  1. A. Yes
  2. B. No
  3. A. Yes