Question

What are the domain and range of f(x) = 2|x – 4|?

Answer 1

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
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(
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Set-Builder Notation:

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Answer 2

Domain: All real numbers or (negative infinity, positive infinity)

Range: [0, positive infinity)

Explanation:

Domain; Since all values of x would work for this equation, simply any number could be plugged in. That means the domain would stretch to infinity because there are an infinite amount of inputs and outputs

Range; Even though we have an infinite amount of domain, when we plug in a negative x, anything inside the absolute value will turn positive. Therefore, no output (y) value will ever go below zero, and we have [0, positive infinity).