#### Answer

The range is {-39, -7, 1, 5, 21}

#### Work Step by Step

g(x) = -4x +1
The domain is {-5,-1,0,2,10}.
The domain gives the x value so we substitute the x into the equation g(x) = -4x +1
x=-5
g(-5) = -4(-5) +1
g(-2) = 21
x=-1
g(-1) = -4(-1) +1
g(-1) = 5
x=0
g(0) = -4(0) +1
g(0) = 1
x=2
g(2) = -4(2) +1
g(2) = -7
x=10
g(10) = -4(10) +1
g(10) = -39
Therefore we get the range to be {-39, -7, 1, 5, 21}