Exponential growth refers to an increase of the resultant quantity for a given quantity, and exponential decay refers to the decrease of the resultant quantity for a given quantity.

From population growth and continuously compounded interest to radioactive decay and Newton’s law of cooling, exponential functions are ubiquitous in nature. In this section, we examine exponential …

Goal: Graph exponential growth and decay functions and use exponential growth and decay functions to model real-life situations.

Exponential growth can be amazing! The idea: something always grows in relation to its current value, such as always doubling. Example: If a population of rabbits doubles every month, we would have 2, …

In Algebra 2, the exponential e will be used in situations of continuous growth or decay. The following formula is used to illustrate continuous growth and decay.

In this unit, we learn how to construct, analyze, graph, and interpret basic exponential functions of the form f (x)=a⋅bˣ.

Exponential growth is the inverse of logarithmic growth. Not all cases of growth at an always increasing rate are instances of exponential growth. For example the function grows at an ever increasing rate, …

Graph exponential growth and decay functions. Solve problems involving radioactive decay, carbon dating, and half life. In real-world applications, we need to model the behavior of a function. In …

May 16, 2025 · In this article, we explore the concepts of exponential growth and decay, write about their core properties, and illustrate how these principles are applied both in theoretical mathematics and …

In Exercises 61 and 62, determine whether the function represents exponential growth or exponential decay. Then graph the function and describe the end behavior.