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

Dec 11, 2017

Domaincolor(blue)( = (-oo, +oo)

Rangecolor(blue)( = [0, +oo)

#### Explanation:

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

Investigate the graph below:

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

Hence, Domain $= - \infty < x < + \infty$

We can also write the Domain as $\left(- \infty , + \infty\right)$

For $y$, the function's Range is all values $f \left(x\right) \ge 0$

Hence, Range = fx) >=0

We can also write the Range as $\left[0 , \infty\right)$

I Hope you find this solution useful.