The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.

For this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.

The site explains exponential functions and characteristics of their graphs.

Explains how exponential functions have applications in real-world scenarios, including a population of a city, the growth of bacteria, drug decay, and compounding interest. Includes four word problems to try, with hints and answers...

[Free Registration/Login may be required to access all resource tools.] Students graph an exponential function and compare graphs of exponential functions on the same coordinate plane. Students examine guided notes, review guided...

This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.

The tutorial investigates how to use exponential functions to solve word problems. Some topics explored are population and radioactive decay. The activity includes examples with detailed solutions.

This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.

For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.

In this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.

For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.

Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.

Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...

An introduction to the natural exponential function, beginning with the limit definition of the irrational number e. Includes several examples and exercises with solutions which deal with the compound interest formula.

Students learn about exponential functions, logarithmic functions, and applications of exponential functions. The tutorial includes class notes, calculator tips, examples, and practice problems with solutions. The teacher resource...

[Free Registration/Login may be required to access all resource tools.] Learn about developing exponential growth models. Here you will explore the use of Algebra to match mathematical models to observed data from real-life situations.

In this task, students are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.

This site from the University of Illinois shows several basic graphs, gives properties of exponential functions, and has practice problems at the end of the site.

This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.

This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.

Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...

This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.

In this task, students learn about exponential decay by examining the amount of Carbon-14 left in a preserved plant with the passage of time after the plant has died. This provides a simple introduction to Carbon-14 dating but the actual...

A basic introduction to rational exponents, beginning with the definition and working up to an application. Includes several examples.