Question

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

Answer 1

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`