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
Install the Derive™ 6 software on the computer 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