Lesson 2
1. Lesson 2
1.9. Explore 5
Module 7: Absolute Value and Reciprocal Functions
Self-Check 2

Turn to page 376 of your textbook to practise applying the concepts that you have learned. Complete questions 5.b., 6.e., 7.a., and 8.c. Check the solutions in the back of the textbook to make sure you are doing the questions correctly. You may also want to review relevant parts of the lesson as you work through the questions.
A critical point on the graph of an absolute function is a point where the graph changes direction. Critical points on the graph of an absolute value function are found on the x-axis. In the next part of the lesson you will learn how to express absolute value functions based on the location of their critical points.
Try This 4
Retrieve your graph from Try This 2. It should look like the following graph.
- Where is the critical point?
- For all x-values greater than the critical point, what is the expression for obtaining the corresponding y-value?
- For all x-values less than the critical point, what is the expression for obtaining the corresponding y-value?
Save your answers in your course folder.