Question

Is the function given in the following table invertible?? Not sure what this means

1|-1
2|3
4|-4
6|-5
8|7
10|1

Answer 1

@perl recheck, the first one is -1 not 1

Answer 2

The original function is
1 -> -1
2 ->3
4 -> -4
6 -> -5
8 -> 7
10 -> 1
The inverse relation is (switch x and y )
-1 -> 1
3 -> 2
-4 -> 4
-5 -> 6
7 -> 8
1 -> 10

Answer 3

so this function is invertible, sorry for my typo earlier

Answer 4

@sccitesla a function is invertible if it is one-to-one and onto.
one-to-one means which each different x, you have a different y. your function have that

Answer 5

When can i invert and when can i not.

Answer 6

I remember this from a long time ago but I need review

Answer 7

onto means each y has corresponding x, your function has that, too

Answer 8

So the y values in the initial function cannot repeat?

Answer 9

--> it is invertible

Answer 10

a function f is invertible if and only if its inverse relation f^-1 is a function on f's range, in which case the inverse relation is the inverse function

Answer 11

Can i just use the horizontal line test for this?

Answer 12

So an upward facing parabola isnt invertible?

Answer 13

yes , for the original function

Answer 14

correct