Topics:
• Solving absolute value inequalities – using the method of Example 1.18
Even if you happen to know another method for solving absolute value inequalities, you must learn and use this method, because we will build on it to solve other types of inequalities. Also, the other methods do not always work except in the very simple (linear) absolute value inequalities.
Here is a video showing the method (“Test point method”)
• Functions
The concept of a function
Functions as mappings
Domain and range of a function
Function notation
Homework:
• Make sure that you have done everything from the first day post.
• Review the method of solving absolute value inequalities in Example 1.18 (Test point method). Make sure that you understand what is being done at each step. See the problem I have posted on Piazza for an absolute value inequality that cannot be solved by the other methods!
• Do the WeBWorK on absolute value equations and inequalities – due by Tuesday 11 PM, but don’t wait to the last minute!
• There is no WeBWorK on the Functions topic, so make sure to do and check the assigned problems from the textbook, Session 2 #2.5-2.8 all.
• For more practice on solving absolute value inequalities, do session 1 #1.7(a-f)
• There will be a quiz at the start of class next time. Be on time! It will be on interval and inequality notations, and solving absolute value equations.
• Monday is a holiday. Happy Labor Day! Next class is next Wednesday, the 6th of September.
Don’t forget, if you get stuck on a problem, you can post a question on Piazza. Make sure to give your question a good subject line and tell us the problem itself – we need this information in order to answer your question.
