Question

So I sort of learned yesterday that inverse relations are kind of like relations that are upside down.
I think I have that down, but I don't know specifically how to apply it to the picture below.
Can someone just walk through it with me?
Thank you! ^.^

Answer 1

can u write the co-ordinates of the four points

Answer 2

It'd help me help you if you'd share any definition of "inverse relationship" that you learned yesterday. Be as precise as you can.

An "inverse function" is not the same thing as "the reciprocal of a number or function."

Which term seems to be the more relevant here: the inverse of a function or the reciprocal of a function?

Answer 3

Well, the chapter that I'm on is specifically targeted towards "Representing Relations."
The first part of it is trying to teach me what inverse relations are, and also determining domain and range.
As to what I learned yesterday, the inverse of any relation is obtained by switching the coordinates in each ordered pair.
That specifically is what is supposed to be applied to this question. My book said nada about reciprocals of a function, so I am automatically presuming that isn't what belongs here.
@mathmale

Answer 4

@mathmale :)

Answer 5

All right, then. Let's build on your "switching the coordinates in each ordered pair."

Two such ordered pairs are (-4,-2) and (-2,-1).
Switching their coordinates produces (-2,-4) and (-1,-2).

The other two ordered pairs are (2,4) and (2,-3). switch their coordinates.

Does this help?

Answer 6

Switching the coordinates (2,4) and (2, -3) would look like (4, 2) and (-3, 2), correct?

Answer 7

Yes. I am used to doing this with inverse functions and believe our results are correct.

Answer 8

Thank you sir, you've been very helpful! ^.^ @mathmale

Answer 9

My pleasure! Good luck to you.

Answer 10

Thank you! :)