## Precalculus

### Exponential and Logarithmic Functions

The two simplest families of transcendental functions are those of exponential functions (of the form y = bx) and their inverses - the logarithmic functions. The growth behavior of exponentials are compared with power functions and the use of exponential and logarithmic transformations on data are treated, as well as an application to compound interest.

### Precalculus: Exponential and Logarithmic Functions Activities

Title Type

#### Comparing Exponential and Power Functions

Students will be able to use various graphical representations to determine which of two functions is greater for large values of x.

• 3245

#### Compound Interest

This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.

• 2832

#### Slider Template Using Specific Values

In this activity, students will learn how to create a slider to control a variable on a graph.

• 2276

#### Transformations of Exponential Functions

Students will explore the family of exponential functions of the form f(x) = c * b x+aand be able to describe the effect of each parameter on the graph of y = f(x).

• 2467

#### Transformations of Logarithmic Functions

This lesson involves the family of logarithmic functions of the form f(x) = c*logb(x+a).

• 2427

#### Logarithmic Transformations of Data

This lesson involves three real-world data sets in which the relationship between each pair of variables is non-linear. Students will be asked to describe the original relationship between each pair of variables, and observe how each transformation is used to achieve a linear relationship.

• 2891

#### Exponential Dice

This lesson involves using a simulation to generate data that can be modeled by exponential growth and decay functions.

• 2375

#### How Cool It Is

This lesson involves creating an exponential regression equation to model the temperature of water as it cools.

• 2348