Question

Using the graph of the function y = 4x - 4 with domain -2, -1, 0, 1, and 2, identify the range of the function. (in order, corresponding to the domain).

a) -4, -4, -4, -4, and -4
b) -12, -8, -4, 0, and 4
c) 4, 0, -4, -8, and -12
d) The range is not provided in the information.

Answer 1

The range of the function, in order of the given domain values, is -12, -8, -4, 0, and 4.

Step-by-step explanation:

The given function is y = 4x - 4. We are given the domain values: -2, -1, 0, 1, and 2. To find the range corresponding to each domain value, we substitute the domain values into the function equation:

For x = -2, y = 4(-2) - 4 = -8 - 4 = -12

For x = -1, y = 4(-1) - 4 = -4 - 4 = -8

For x = 0, y = 4(0) - 4 = 0 - 4 = -4

For x = 1, y = 4(1) - 4 = 4 - 4 = 0

For x = 2, y = 4(2) - 4 = 8 - 4 = 4

Therefore, the range of the function, in order of the given domain values, is -12, -8, -4, 0, and 4.