How do you find the domain and range of $y = |x - 6|$ ?

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Answer 1 · 2017-12-11T12:42:18

Domain $color(blue)( = (-oo, +oo)$

Range $color(blue)( = [0, +oo)$

We are give the absolute Value Function $y = f(x) = |x-6|$

Investigate the graph below:

enter image source here

We observe that ALL Real Values are possible for the function's Domain $x$

Hence, Domain $= -oo < x < +oo$

We can also write the Domain as $(-oo, +oo)$

For $y$ , the function's Range is all values $f(x)>= 0$

Hence, Range $= fx) >=0$

We can also write the Range as $[0, oo)$

I Hope you find this solution useful.

How do you find the domain and range of y = |x - 6| y = |x - 6|?