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This set of points is on the graph of a function. {(−2, −8), (0, 9), (2, 8), (3, 27)} Which points are on the graph of the inverse? Select each correct answer.

A. (−8, 2)

B. (−8, −2)

C. (9, 0)

D. (−27, −3)

Answer 1

Kennedy Adams

If a function contains a point #(x,y)#, then its inverse will contain a point #(y,x)#

The given points of the function are:

#{(−2,−8), (0,9), (2,8), (3,27)}#

Then its inverse will contain the points:

#{( −8,−2), (9,0), (8,2), (27,3)}#

I see that selections B and C are in this list.

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Answer 2

Jace Anderson

To find the points on the graph of the inverse function, you need to swap the x and y coordinates of each point. So the points on the graph of the inverse function would be:

{(−8, −2), (9, 0), (8, 2), (27, 3)}

Therefore, the correct answers are:

(−8, −2)
(9, 0)
(8, 2)
(27, 3)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

This set of points is on the graph of a function. {(−2, −8), (0, 9), (2, 8), (3, 27)} Which points are on the graph of the inverse? Select each correct answer.

A. (−8, 2) B. (−8, −2) C. (9, 0) D. (−27, −3)

A. (−8, 2)

B. (−8, −2)

C. (9, 0)

D. (−27, −3)