Question

Exponential functions are always increasing

True of False

Answer 1

False.

If f(x) = a^x (a>0):
- If a > 1, f is increasing.
- If 0 < a < 1, f is decreasing (e.g. f(x) = (1/2)^x).
- If a = 1, f(x) = 1 is constant.

So not all exponential functions are increasing.