What are the domain and range of the quadratic parent function?

A. The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
B. The domain is all real numbers, and the range is positive real numbers (y > 0).
C. The domain is nonnegative real numbers (y ≥ 0), and the range is all real numbers.
D. The domain is positive real numbers (y > 0), and the range is negative real numbers (y < 0).

Respuesta :

The best answer is A. All quadratic functions have a domain of all real numbers. The range of the parent function has to be all non negative numbers because at f(0), y=0. 0 is non negative but it is not positive.

The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).

What is Domain and Range ?

For a function , the domain is the input value that can be given to the question and the range is the all the value function can have.

A parent quadratic function is given by

y = ax²

here the domain is all the real values that give real values of the function including 0

Therefore Option A is the answer.

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