A function of the form f(x) = abx 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 ≥ 2.

The correct options are : The range stays same and The domain stays same.

Explanation:

Since, given function, , where x belongs to the domain of the function and f(x) makes the range of the function.

Here, Both domain and range are the set of real number.

According to the question, when we increase a by 2 but the value of b remains same.

Then, the new function is ,

But,  the range and domain of this function is also the set of real number.

So, there is not any change in range and domain of the function.

Thus, Options first and third are correct.