Determine the domain of the functiony=|x+2|−1𝑦=|𝑥+2|−1.Select one:A.x⩾−7𝑥⩾−7B.y⩾−1𝑦⩾−1C.y∈R𝑦∈𝑅D.x∈R
Question
Determine the domain of the functiony=|x+2|−1𝑦=|𝑥+2|−1.Select one:A.x⩾−7𝑥⩾−7B.y⩾−1𝑦⩾−1C.y∈R𝑦∈𝑅D.x∈R
Solution
The domain of a function is the set of all possible input values (often denoted as 'x') which will produce a valid output.
The function given is y = |x+2| - 1.
The absolute value function |x+2| will accept any real number, because it simply reflects negative numbers to positive, and leaves positive numbers as they are.
Then, subtracting 1 from the absolute value will also not restrict the domain, because you can subtract 1 from any real number.
Therefore, the domain of the function is all real numbers, which is represented as x∈R.
So, the correct answer is D. x∈R.
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