What is the end behavior of the exponential function

Question

f(x) = 3/2 × {4/5}^x ?

Answer 1

The end behavior of the exponential function f(x) = 3/2 * (4/5)^x is as follows:

As x approaches positive infinity (∞), f(x) approaches 0. This means that the function decreases and gets arbitrarily close to 0, but it never actually reaches 0.

As x approaches negative infinity (-∞), f(x) approaches infinity (∞). This implies that the function increases without bound as x becomes more negative.