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

1 Answer
Dec 11, 2017

Answer:

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

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

Explanation:

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

Investigate the graph below:

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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.