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What is the domain and range of the function y equals square root of 2 x minus 4 end root?

User Sheepez
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Final answer:

The domain of the function is x ≥ 2 and the range is y ≥ 0.

Step-by-step explanation:

The domain of a function is the set of all possible input values, while the range is the set of all possible output values.

For the function y = √(2x - 4), the domain is determined by the values that satisfy the square root.

We set 2x - 4 ≥ 0, because the square root of negative numbers is not real.

Solving this inequality, we get x ≥ 2.

The range, on the other hand, is determined by the possible values of y.

Since the square root function output positive values, the range is y ≥ 0.

User Zak Henry
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