Question

Find the inverse of the relation {(1,1), (-1,1), (2,4), (-2,4)}. Is the inverse still a function?
Help me?
true or false

Answer 1

the inverse cannot be a function since an input of 1 will need an output of 1 and -1 . likewise, an input of 4 will have an output of 2 and -2.

you would need to restrict the domain of the original relation/function in order for it to have an inverse.

Answer 2

okay, so false

Answer 3

@pgpilot326 I am kind of confused.

Answer 4

just a sec...

Answer 5

this is your original relation

Answer 6

it is a function, but not a one to one function. in order to have an inverse it must be a one to one function.

if we reflect the points about the line y = x we'll get the inverse...

Answer 7

the black dots are the "inverse". they don't pass the vertical line test, therefore they are not a function.