Hi there!
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I believe your answer is:
D) {(1, 2), (2,4), (−1, 2), (0,3)}
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Here’s why:
- A function is a relation in which one element of the domain is assigned to exactly one element of the range.
- This means that the domain (x) values must not repeat.
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Option A's answer is incorrect, as the domain value of '5' repeats.
{(<u>5</u>, 0), (0, 1), (<u>5</u>, 2), (4,4)}
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Option B is not a function due to the repeating '-4' value.
{(0, 1), (<u>−4</u>, 1), (4, 2), (<u>−4</u>,−1)}
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The '3' in option C's given relation repeats.
{(<u>3</u>, 2), (2,1), (−1, 2), (<u>3</u>,3)}
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Option D is the correct answer, as there are no domain values that repeat.
{(1, 2), (2,4), (−1, 2), (0,3)}
<em>Therefore, option D is a function. </em>
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Hope this helps you. I apologize if it’s incorrect.