Question

Find the range of y = -3x + 7 for the domain {-8, -6, -3, -2, 2}

Answer 1

The domain is the set of x-values of a function. The range is the set of y-values of a function.

You are told that the domain, or x-values, are -8, -6, -3, -2, and 2. To find the range, you just need to plug in each of the x-values into the function y = -3x + 7 and find the value of y.
1) When x = -8:
y = -3x + 7
y = -3(-8) + 7
y = 24 + 7
y = 31

2) When x = -6
y = -3x + 7
y = -3(-6) + 7
y = 18 + 7
y = 25

3) When x = -3
y = -3x + 7
y = -3(-3) + 7
y = 9 + 7
y = 16

4) When x = -2
y = -3x + 7
y = -3(-2) + 7
y = 6 + 7
y = 13

5) When y = 2
y = -3x + 7
y = -3(2) + 7
y = -6 + 7
y = 1

The range is {31, 25, 16, 13, 1}.

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Answer: {31, 25, 16, 13, 1}