Question

Which function is increasing?

Answer 1

`f(x)=5^x`, which is the third function listed among the possible answers.

Explanation:

Notice that these are all exponential functions, that contain just "x" in the exponent, and one "1' as the accompanying coefficient. So, in order to decide which ones are increasing, we need to study the base of the expression with exponent "x".

If the base is a number smaller than one, the function is decreasing.

If the base is a number larger than one, the exponential function is increasing.

Therefore, the only one that shows a larger than one base is the third one :

`f(x)=5^x`

which is therefore the only increasing function of the group.