Exponential and Logarithmic Functions: Precalculus: TI Math Nspired

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Exponential and Logarithmic Functions

The two simplest families of transcendental functions are those of exponential functions (of the form y = b^x) 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
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. Standards \| Textbook	3010	15
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. Standards \| Textbook	2609	11
Slider Template Using Specific Values In this activity, students will learn how to create a slider to control a variable on a graph. Standards \| Textbook	2170	9
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). Standards \| Textbook	2275	10
Transformations of Logarithmic Functions This lesson involves the family of logarithmic functions of the form f(x) = c*log_b(x+a). Standards \| Textbook	2260	11
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. Standards \| Textbook	2757	9
Exponential Dice This lesson involves using a simulation to generate data that can be modeled by exponential growth and decay functions. Standards \| Textbook	2206	11
How Cool It Is This lesson involves creating an exponential regression equation to model the temperature of water as it cools. Standards \| Textbook	2219	9

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