Question

Find the range of the function y=-x+3
when the domain is (-2,0, 2, 4).

Answer 1

Range: {5, 3, 1, -1} or in numerical order: {-1, 1, 3, 5}

Explanation:

The range is the set of output or y-values for every input (or x-values). Given the following domain: {-2, 0, 2, 4} and the given linear function, y = -x + 3:

Domain (x) Range (y)

-2 y = -(-2) + 3 = 2 + 3 = 5

0 y = - (0) + 3 = 0 + 3 = 3

2 y = -(2) + 3 = -2 + 3 = 1

4 y = -(4) + 3 = - 4 + 3 = -1