Question

Last question then I wont bother you nice people.
Find the range of the function g(x) = 3x - xsquared with domain
D={-1,0,1,2,3}

Answer 1

The range will be the set of answers you get from plugging the domain values into g(x).
For instance the first value you get is from plugging -1 into the function.
\[g(x) = 3x-x^{2}\]
\[g(-1) = 3(-1)-(-1)^{2} = (-3)-1 = -4\]
So the first element of your range will be -4.