Question

"Exponential Functions" Please respond to the following: Explain how exponential functions can model both phenomena that grow and phenomena that decay. Note the main similarities and differences in the form of the function in each case.

Answer 1

Answer:

Step-by-step explanation:

Exponential functions grow at the fastest rate because the function increase or decrease in a power form.

for example, "2 raised x "means that when ever the power increase the number gets large and the same for decrements.

example: when x=1 it becomes 2

                         x=2                    4

                         x=3                     8

                        .

                        .

                        x=n                   2∧n which a very big number.

In the same case it decreases dramatically if the power is negative or the number is improper fraction with positive number exponent; like (3/4)∧x,2∧-x  when x is positive real number.

The similarities  of both trend is that the change is the same both decrease or increase in similar scenario.

the difference is already known that one goes up with out bound but the one which decays goes down ward both with limitation and in unlimited cases.