Question

explain what happens to y = f(x) when x = f(y)

Answer 1

then it is an identity function

Answer 2

if \(f(x)=y\) then \(x=f^{-1}(y)\)
but it is given that
\[x=f(y)\implies f^{-1}(y)=f(y)\]
i.e., the function is its own inverse. Such a function is known as "identity function"

Answer 3

so (-3,0) on the graph would end up being what?

Answer 4

3,0?

Answer 5

the original coordinates are (-3,0) (0,-2) (2,-2) (4,2)

Answer 6

what do you mean?

Answer 7

(-3,0) is a point on the function?
i.e., \(f(-3) = 0\) and \(f(0)=-3\)