Question

Which function is increasing? O A. (x) = (0.5)" B. f(x) -(1) OC. Rx) = 5* (x OD. f(1) = - ©

Answer 1

The given functions are exponential functions. The general equation of exponential function is,

`y=a\cdot b^x`

If the value of b is more than 1, then the exponential function is increasing.

For the given options, exponential function,

`f(x)=5^x`

has the value of b equal to 5, which is more than 1. So this function is an increasing function.

Answer:

`f(x)=5^x`

Option C is correct.