Find the inverse. Determine whether the inverse represents a function.
-{(6, -10), (-4, -9), (-6, -8), (-8, -7)}
A){(-10, 6), (-9, -4), (-8, -6), (-7, -8)}; a function
B){(-10, 6), (-9, -4), (-8, -6), (-7, -8)}; not a function
C){(-9, -10), (-10, -6), (6, -4), (-9, -8)}; not a function
D){(-9, -10), (-7, -6), (6, -6), (-9, -8)}; a function

Question

Quizplus · Accepted Answer

To find the inverse, switch the position of each point's x and y values. The resulting set of points is {(−10,6),(−9,−4),(−8,−6),(−7,−8)}. To determine whether this is a function, check if each input (x-value) has only one output (y-value). In this case, each unique x-value appears only once in the inverse set of points, so it is a function. Choice B and C are not correct because they have repeated x-values in the inverse set of points. Choice D is not correct because it has repeated y-values in the inverse set of points. To find the inverse, switch the x and y values of each point. The resulting set is {(−10,6),(−9,−4),(−8,−6),(−7,−8)}, which is a function because each x-value has exactly one corresponding y-value.

Find the Inverse