What is the domain and range of f(x) = |x - 2|?

1 Answer
smendyka
Oct 22, 2017

See a solution explanation below:

Explanation:

There are no constraints on the input to the function in the problem. x is able to assume any value therefore the Domain is the set of All Real Numbers. Or: {RR}

The absolute value function takes any term and transforms it to its non-negative form.

Therefore, because this is an absolute value function of a linear transformation, the Range is the set of all Real numbers greater than or equal to 0

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