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f(x)= square root x + 2 - 3

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2 Answers

Hi, The.

The domain of a function is the set of all possible values for x. The range is all possible values for y. 

You should be able to see these pretty easily from the graph. If I understand your function correctly:

f(x) = square root(x+2) - 3

then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)

The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)

Hope this helps!

Kathye P.

f(x) = √(x+2) - 3 <== Is this what you meant?

Domain: √(x+2) ≥ 0 ==> x ≥-2. So the domain is [-2, ∞)

Range: [-3, ∞), since √(x+2) ≥ 0, f(x) ≥ -3.