Question

What's an example of a function whose domain consists of 5 numbers and range consists of three numbers?



And an example of a function whose domain is a set of real numbers and whose range is not on an interval

Answer 1

\[
f(x) = x^2
\]With the domain of \(\{-2,-1,0,1,2\}\)

Answer 2

It ends up with a range for \(\{0,1,4\}\)

Answer 3

would something like |x| work too?

Answer 4

Yes

Answer 5

You can even say: \[
f :=\{(1,1),(2,2),(3,3),(4,1),(5,1)\}
\]

Answer 6

what about an example of a function whose domain is a set of real numbers and whose range is not on an interval?

Answer 7

That wouldn't work because it's domain and range would be too large.