6
QuizMultiple Choice

Function Inverses

Question 6 • 26/27 ALGEBRA II A

Which function has an inverse that is also a function?

Answer
A
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
B
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
C
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
D
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Explanation

An inverse is a function when the original function assigns different outputs to different inputs. In choice A, the outputs 3, 7, 0, −3, and −7 are all distinct, so reversing the ordered pairs still gives each input exactly one output. The other choices repeat outputs, so their inverses would assign one input more than one output.

AI-written and checked against the verified answer.

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