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

1 Answer
Oct 22, 2017

See a solution explanation below:


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#