Activity Overview
This activity, which acts as a learning review, is a solution of the questions of the MM CAS 2003 Exam 1 Part 1. Students use the Derive software to solve problems.
Before the Activity
See the attached PDF / DFW file for solutions to the questions, and print the file for the class
During the Activity
Distribute the pages to the class.
In this activity, students will:
Find the nature of the trigonometric graph and find its period
Identify the factor by which a trigonometric graph has been dilated
Find the maximum value of a graph
Understand that the graph of y = f(x) corresponds to y = f(-x) reflected along the y-axis
Observe the first and second differences, and the rate of increase to rule out options from the given choices
Use Derive to check the table of values for each alternative
Understand the definition of inverse functions
Realize that inverse functions are symmetrical about the line y = x
Recognize the fact that for a function to have an inverse, the set A must be a subset of R such that the function has one-to-one correspondence over A
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary