Question

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.

Answer 1

The range stays the same.

and

The domain stays the same.

Explanation:

Answer 2

The range stays the same.

The domain stays the same.

Explanation:

The function
`f(x)=ab^(x)` is an exponential function, where a is the coefficient, b is the base and x is the exponent.

The domain for this kind of functions is: All real numbers.

And the range is: (0,∞); this happen because the exponential functions are always positive when a>0.

Therefore, if the value of a is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.