1. Pre-Calculus Chapter 1 Section 1 & 2 Modeling with Equations and Solving Functions and Their Properties 2013 - 2014

2. A pizzeria sells a rectangular 20” by 22” pizza for the same amount as a large round pizza (24” diameter). If both pizzas are the same thickness, which option gives you the most pizza for the money

3. The engineers at an auto manufacturer pay students $0.08 per mile plus $25 per day to road test their new vehicles. How much did the auto manufacturer pay Sally to drive 440 miles in one day? John earned $93 test-driving a new car in one day. How far did he drive?

4. Things you should know about Functions  Domain:  Range:  Function:  Vertical Line Test: Input values, x, independent Output values, y, dependent Each domain value has 1 y value A graph is a function if a vertical line passes through it and only intercepts at 1 point

5. Find the domain of the functions

7. Continuity  Continuous  Removable discontinuity  Jump discontinuity  Infinite discontinuity

9. Increasing and Decreasing Functions

10. For each function, tell the intervals on which it is increasing and decreasing.

11. Local and Absolute Extrema  Local values are located on an interval. Absolute values are the highest or lowest on the whole graph  Local maximum is the highest point in a section of a graph. If it is actually the highest point, it is the absolute maximum.

13. Symmetric about the y-axis xy -39 -24 1 11 24 39

14. Symmetric about the x-axis xy 9-3 4-2 1 11 42 93 These are not true functions because they fail the vertical line test. You can say (x, -y) is on the graph when (x, y) is on the graph.

15. Symmetric about the origin xy -3-27 -2-8 11 28 327

16. Checking symmetry  To check if a function is an even function, subsitute (-x) in for x. If the function is the same, it is even.  To check if a function is odd, substitute (-x) in for x. If the function is the opposite sign of the original function, it is odd.  If the rules applied does not fit an even nor odd function, you would say the function is neither.

17. Asymptotes  An asymptote is an imaginary line where the function does not exist. It can forever get closer to that line but will never actually touch the line.

18. Finding Asymptotes

19. Before you leave today:  Complete #79 from page 104

20. Homework  Ch 1.1; Pg. 81-83: 1-10, 22, 29, 31  Ch 1.2; Pg. 102-103: 1-25 every other odd, 41 – 61 every other odd, 73