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

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Answer 1 · 2016-02-10T11:40:46

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

$x$ 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 · 2016-02-10T11:44:03

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

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

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