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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.

Alignments  Standards  |  Textbook  
  • 3192

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.

Alignments  Standards  |  Textbook  
  • 2781

Slider Template Using Specific Values

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

Alignments  Standards  |  Textbook  
  • 2249

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).

Alignments  Standards  |  Textbook  
  • 2427

Transformations of Logarithmic Functions

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

Alignments  Standards  |  Textbook  
  • 2387

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.

Alignments  Standards  |  Textbook  
  • 2853

Exponential Dice

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

Alignments  Standards  |  Textbook  
  • 2339

How Cool It Is

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

Alignments  Standards  |  Textbook  
  • 2314
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