5
QuizMultiple Choice

Function Inverses

Question 5 • 26/27 ALGEBRA II A

Which function has an inverse that is also a function?

Answer
A
{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}
B
{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}
C
{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
D
{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

Explanation

The inverse swaps each input and output, so it will be a function only if the original function never assigns the same output to two different inputs. Choice C has distinct outputs: 3, 4, 14, 6, and 2. The other choices repeat an output, so their inverses would assign one input more than one output.

AI-written and checked against the verified answer.

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