**More on Functions**

FIU has online movies to help with this topic on this page. You must have QuickTime Player, a free download, installed on your computer.

Your homework from this lesson is not in the book, it is posted here.

If you cannot view the handout, you need to download the free program Adobe Acrobat Reader.

Problems
1-21 ask you to find the domain of a function. You can answer these problems by starting with
the set of all real numbers as your domain, then excluding numbers that make the
denominator zero or make the number underneath an even root sign negative.
Since there are no radicals in problems 1-9, all you have to do is set
the denominator equal to zero and solve for x.
Your domain will then be all real numbers *except *the ones that made
the denominator zero. Problems 2-5 lead to quadratic equations, which
are reviewed here
or view Movie 6.31 on this
page. You must have QuickTime Player, a free
download, installed on your computer. Problems
8-9 lead to equations with absolute values, which are reviewed here
or you may view movie 2.24 on this
page. For help on problem 10, you may view movie
4.14 on this
page. Problems 12, 14, 16, and 17
lead to quadratic inequalities, which are reviewed in movie 6.34 on this
page.

Problems 20-25 ask you to find the x-intercepts. This is done by setting the right side of the equation equal to zero and solving for x. Problem 23 leads to a radical equation which you can solve by first isolating the radical on one side of the equation, then raising both sides of the equation to the fourth power. Problems 24-25 lead to equations with rational exponents, which are reviewed in movie 7.14 on this page.

Problems 13 and 26 lead to rational inequalities, which are reviewed here.

Problems 27-30 result in inequalities with absolute value, which are reviewed here.