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