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Consider the function y = √2x -4. what are the domain and range of this function?

User Upshake
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Final answer:

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

Step-by-step explanation:

The function is defined as y = √(2x - 4). The domain of a function refers to the set of all possible values of x for which the function is defined. For this function, the value inside the square root, 2x - 4, must be greater than or equal to 0. So we set up the inequality 2x - 4 ≥ 0 and solve for x. This gives us x ≥ 2. Therefore, the domain of the function is x ≥ 2.

The range of a function refers to the set of all possible values of y that the function can output. Since the square root of any non-negative number is always positive, the function will output positive values for y. Therefore, the range of the function is y > 0.

User Neildeadman
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