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Mathematics

4

What is the range of the function ?

What is the range of the function

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Best Answer

The given function is .

We can find the range of the function by finding the minimum value of and determining if there are any restrictions on the output values.

Notice that is always nonnegative and equals 0 only when . Therefore, the minimum value of occurs when and is equal to .

Since can be any nonnegative number, can take on any value greater than or equal to 17. Therefore, the range of the function is .

We can find the range of the function by finding the minimum value of

Notice that

Since