This document discusses functions and how to work with them. It defines functions and explains that a function relates each input to a single unique output. It provides examples of relations that are and are not functions. It also discusses how to evaluate functions, find domains, use function notation like f(x), and calculate difference quotients.

8. Try: Find f(-1/2) for f(x) = 3 - 2x

10. Try: h(t) = t 2 – 2t. Find h(x + 2).

17. You try: Find all values of x for which f(x)=g(x) if f(x)=x 2 +2x+1 and g(x)=3x+3.

18. D. Find the domain:

19. E. This is called a difference quotient: It’s a special formula you will derive in your calculus class. You will not have to memorize this formula for your algebra exams. It will be provided to you if we want you to use it on the test. Why are we looking at it before you are in calculus? Getting from this formula to an answer will be all algebra-esque, lots of distributing, combining like terms, etc.