Question

Exponential functions exhibit exponential growth (or decay). What does this mean to the graphs of these functions? a.. the graph will rise or fall more dramatically than a polynomial graph. c.. the graphs represent the population of bacteria in your mouth. b.. the graph is three dimensional. d.. the exponent in the equation is less than one

Answer 1

The correct option is:

Option: a

a. the graph will rise or fall more dramatically than a polynomial graph.

Explanation:

The most basic exponential function is a function of the form

y=b^x

where b is a positive number.

When b>1

the function grows in a manner that is proportional to its original value. This is called exponential growth.

When 0>b>1

the function decays in a manner that is proportional to its original value. This is called exponential decay.

The graph of a exponential function increases or decreases rapidly as compared to a graph of a polynomial function.

Hence, option a is the correct answer.