Objectives:
To recognize exponential functions and their graphs.
To transform the graph of a function.
Materials:
Microsoft Excel (or any other spreadsheet)
Graphing Calculator with overhead extension
Procedure:
Open the lesson with the One Grain of Rice story/activity. This is a children's story often read to students in elementary school.
Graph the following function on the overhead calculator (either TI-82 or TI-83):
Then graph
Compare the two graphs and discuss the vertical shift.
Graph f(x) = 4^x
Have students sketch g(x) = 4^x - 1
Tell students to discover how to make a horizontal shift to the right 2 units with f(x) = 3^x.
Let them experiment with their calculators. Check their progress.
Have a volunteer to share their answer.
Tell them this is called transforming a graph.
Classwork/Homework: pg. 636-638 # 3, 4, 6, 8, 9, 13, 16, 19-29 odd, 43-46, 47, 49, 51