Question

give an example of two different equations that have the sane domain and range, but do not have more than one ordered pairs in common

Answer 1

The function:

$f(x)=x^2$

has as its domain all the real numbers and range all the positve numbers.

The function:

$g(x)=(x-5)^2$

has the same domain and range.

If we plot them we notice that they only intersect in one point: