The domain and range of the function f(x) = |x - 2| has to be determined. The domain of a function is all values of x for which the value of f(x) is defined. The range of the function is all values of f(x) for values of x that lie in the domain.
The absolute value function f(x) = |x| is defined as f(x) = x for x>=0 and f(x) = -x for x <0.
If f(x) = |x - 2| the value of f(x) is defined for all values of x. The domain of the function is the set of real numbers R. The value of f(x) = |x - 2| is never negative,. For value of x < 2, the function f(x) = 2 - x which is positive. The range of the function is therefore the set `[0, oo)` .
We’ll help your grades soar
Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.
- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support
Already a member? Log in here.
Are you a teacher? Sign up now