Question

The equation below describes a linear function. y=−2(x+1)+4 The range of the function is {−4,−2,4} . What is the domain of the function

Answer 1

9514 1404 393

Answer:

{-1, 2, 3}

Explanation:

We need to find the values of x that correspond to these y-values.

{-4, -2, 4} = -2(x +1) +4 . . . substitute the range values for y

{2, 1, -2} = x +1 -2 . . . . . . .divide by -2

{2, 1, -2} = x -1 . . . . . . . . . simplify

{3, 2, -1} = x . . . . . . . . . . . add 1

The domain of the function is {-1, 2, 3}.