In this article, students learn how to add or subtract two functions to create a new function.
Students apply knowledge of exponential and logarithmic functions and transformations of functions to a contextual situation.
Students use the sum of a finite geometric series formula to develop a formula to calculate a payment plan for a car loan and use that calculation to derive the present value of an annuity formula.
Students use geometric series to calculate how much money should be saved each month to have 1 million in assets within a specified amount of time.
Students will add, subtract, multiply and divide functions.
Materials used with teaching composite and inverse functions.
Worksheet on evaluating functions that have been combined.
In this article, students become familiar with the idea that they can add, subtract, multiply, or divide two functions together to make a new function.
In this lesson, students write an exponential function that represents the amount of water in a tank after ?? seconds if the height of the water doubles every 10 seconds. Students discover Euler’s number ?? by numerically approaching the constant for which the height of water in a tank equals the rate of change of the height of the water in the tank. Students calculate the average rate of change of a function.
In this article, students see how they can multiply or divide two functions to create a new function.