Answer: Hello there!
The function is f(x) = 3.2*x and we want to know the range of this function for the domain (-4, -2, 0 , 2, 4)
First we need to evaluate f(x) in the points of the domain, and this give us the pairs:
(-4, 3.2*-4) = (-4, -12.8)
(-2, 3.2*-2) = (2, -6.4)
(0, 3.0) = (0,0)
(2, 3.2*2) = (2, 6.4)
(4, 3.2*4) = (4, 12.8)
The range is the codomain or image of the function, then the range of f(x) for the given domain is:
(-12.8, -6.4, 0, 6.4, 12.8)