1. DO NOW – Summarize the steps you would take to solve limits. For example: – When do you factor, expand, plug in, rationalize, etc.? – What is the difference between taking a limit as x approaches a constant and x approaches infinity? – When do you graph the function to solve the limit? – Etc. HOMEWORK – Study for Exam AIM: What do you know about functions and their limits?

2. Piecewise Functions You have a summer job that pays time and a half for overtime. (If you work more than 40 hours) After that it is 1.5 times your hourly rate of $7.00/hr. 1.Write and graph a piecewise function that gives your weekly pay P in terms of the number hours you work h. 2.How much will you make if you work 45 hours?

3. Ceiling/Floor Function Musicians receive royalties of 9 cents for songs 5 minutes or less and they receive an additional 1 cent per minute or fraction thereof for songs over 5 minutes. 1.Write an equation to describe the amount of money the musicians make in royalties based on the length of the song. 2.How much money will they earn for a 7.5 minute song?

4. Find the domain of the function Greatest Integer Function

5. Asymptotes Find all asymptotes of the function: