Question

How do you find the domain and range of `f(x)=(1/2)|x-2|`?

Answer 1

Domain: `x in RR or (-oo ,oo)`
Range: `f(x) >=0 or [0 , oo)`

Explanation:

`f(x) = 1/2 abs(x-2)` . Domain : Input of `x` is any real number.

Domain: `x in RR or (-oo ,oo)`

Range: Output of `f(x)` is any real number `>=0`

Range: `f(x) >=0 or [0 , oo)`

graph{1/2abs(x-2) [-14.24, 14.23, -7.12, 7.12]} [Ans}