Question

What is the range of this absolute value function? a. -[infinity] < y ≤ 0 b. 0 ≤ y < [infinity] c. -[infinity] < y ≤ 7 d. -[infinity] < y < [infinity]

Answer 1

If the equation of the absolute value function is f(x) = |x + 1| + 7, then the range of the function is -∞ < y ≤ 7

How to determine the range of the absolute value function?

The question is incomplete, so I will provide a general explanation

Assume that the absolute value function is given as:

f(x) = |x + 1| + 7

Set the absolute value to 0

f(x) ≥ 0 + 7

Evaluate

f(x) ≥ 7

This means that the smallest value of the function is 7

Hence, the range of the absolute value function is -∞ < y ≤ 7

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