Answer:
The range is {4,2,0,-2}
Step-by-step explanation:
The domain of the function is given as {-1,0,1,2}.
The function is defined as
[tex]g(x) = 2 - 2x[/tex]
The range of a function is the set of all values of y that corresponds to an element in the domain.
We substitute each element from the domain to obtain, the corresponding element in the range;
[tex]g( - 1) = 2 - 2( - 1) \\ g( - 1) = 2 + 2 = 4[/tex]
When x=0,
[tex]g(0) = 2 - 2(0) = 2[/tex]
When x=1,
[tex]g(1) = 2 - 2(1) = 0[/tex]
When x=2,
[tex]g(2) = 2 - 2(2) = 2 - 4 = - 2[/tex]
Therefore the range is {4,2,0,-2}
