To Find: The domain and range of the function.
the domain is all real numbers, that is
the range is
Given: The function is
A quadratic function is expressed in standard from as:
Here, is a polynomial function, so there is no value that will restrict the domain. Therefore, the domain is all real numbers, that is
As , there is maximum value is
Put the value of in the function,
The maximum value of which occurs at , Hence the range is .
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