Question

The exponential function f(x)=2(x) increases as x increases. Do all exponential functions of the form b(x) behave this way? Use algebraic reasoning to support your answer.

Answer 1

No, not all exponential functions of the form b(x) behave the same way. The behavior of an exponential function depends on the base, b.

Step-by-step explanation:

No, not all exponential functions of the form b(x) behave the same way. The behavior of an exponential function depends on the base, b. In the case of the exponential function f(x) = 2^x, the base is 2, and it increases as x increases. However, if we take a different base, such as b = 0.5, the function b(x) = 0.5^x would actually decrease as x increases. So, the behavior of an exponential function can vary based on the value of the base.