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

Answer 1

Avery Alexander

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:

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.

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Answer 2

Genesis Allen

Domain: All real numbers Range: y ≥ 0

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.