Is the function #f(x) = (2/3)^x# increasing or decreasing?

1 Answer
Jun 5, 2018



This is an exponential function where the number in the parentheses is the growth factor. Since the absolute value of the growth factor is between 0 and 1, it is a decreasing function.

In other words this means that every time x goes up by 1, the next number is the previous term multiplied by #2/3#.

Here are the first 5 numbers in the sequence starting at the 0th term:
#1, 2/3, 4/9, 8/27, 16/81...#

Clearly this sequence is decreasing exponentially.