Question

What is the domain and range of `y=abs(x-5)`?

Answer 1

Domain: `(-oo, +oo)`
Range: `[0, +oo)`

Explanation:

`x` can take on any real number value (negative , zero, positive).

`y` can only have zero and all positive real numbers. It can not have negative values.

Kindly see the graph of `y=abs(x-5)`

graph{y=abs(x-5)[-20,20,-10,10]}

Answer 2

Domain : Any real Number ; Range : Any positive real number

Explanation:

Here the domain (values of x) is any real number.
And the range (values of y) is any non-negative real number.