Question

A function of the form f(x) = ab is modified so that the b value remains the same but the a value is increased by 2.

How do the domain and range of the new function compare to the domain and range of the original function? Check all
that apply.
The range stays the same.
The range becomes y > 2.
The domain stays the same.
The domain becomes x 2.
The range becomes y ≥ 2.
The domain becomes x 22.

Answer 1

Explanation:

The domain of the new function remains the same as the domain of the original function because it only affects the coefficient of x, not the values of x itself.

However, the range of the new function changes because increasing the coefficient a shifts the entire graph of the function upwards. Specifically, the range of the new function becomes y ≥ 2 since the minimum value of the function is now 2, which occurs when x = 0.

Therefore, the correct answers are:

The domain stays the same.

The range becomes y ≥ 2.