Math Analysis 2013-2014 Summer Packet Exam Policies
*This policy page is correct and complete as of Thursday, August 15th, 2013. We reserve the right to make minor changes in the next week before school begins.
Additional Discussion questions for class time (Units B and C):
Unit B
1. State the process for finding a relative max or min on your calculator. What happens if you get something like "2.1983930 E -7"
2. Intervals of increase and decrease always have ____________[parentheses or brackets] in their notation BECAUSE... _________
3. Intervals of increase and decrease always include what values, and where do you get those values from?
4. What do you know about "fences" on piecewise functions?
5. State what the following values of "a" do to the graph (2 each) and why. a=1, a=-1, a=1/2, a=-3/4, a=2, a=-5
6. List all the possible names for describing a graph with an "a" value of -3
7. List all the possible names for describing a graph with an "a" value of 2/5
8. How do you know if a graph shifts left or right?
9. How do you know if a graph shifts up or down?
10. What does the graph of a quadratic look like? What is its key point called and where is it located?
11. What does the graph of an absolute value look like? What is its key point called and where is it located?
12. What does the graph of a square root look like? What is its key point called and where is it located?
13. What does the graph of a cube root look like? What is its key point called and where is it located?
14. What is tricky about graphing "root" graphs in regards to the letter "a"?
Unit C
15. What do you need to remember when subtracting functions?
16. What are two methods you can use when multiplying functions? Which do YOU prefer and why? When might you want to use one over the other?
17. How do you find the domain of a rational function after dividing functions? What different skills might you have to use when solving for the domain? What are some "trick" (i.e. imaginary) answers that you need to be aware of?
18. How do you compose functions?
19. What is the easiest way to go about double evaluation and double composition problems?
20. State the process for finding inverse functions algebraically.
21. Describe how inverse functions relate to each other numerically and graphically.