Final answer:
Among the given functions, only f(x)=4^x is increasing, as it has a base greater than 1. The other functions have bases that are fractions less than 1, which means they are decreasing.
Step-by-step explanation:
The question asks which function among the given options is increasing. To determine if a function is increasing, we look at the base of the exponential function. For exponential functions in the form of f(x)=b^x, if the base b is greater than 1, the function is increasing. Conversely, if the base b is between 0 and 1 (0
In the given options:
f(x)=(0.4)^xf(x)=(1/2)^xf(x)=(1/4)^xf(x)=4^x
Only f(x)=4^x is increasing because the base 4 is greater than 1. The other functions have bases that are fractions less than 1, indicating they are all decreasing functions.