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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
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\[ f(x) = x^2 \]With the domain of \(\{-2,-1,0,1,2\}\)
It ends up with a range for \(\{0,1,4\}\)
would something like |x| work too?
Yes
You can even say: \[ f :=\{(1,1),(2,2),(3,3),(4,1),(5,1)\} \]
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what about an example of a function whose domain is a set of real numbers and whose range is not on an interval?
That wouldn't work because it's domain and range would be too large.
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