1 Recap 8.1 Direct variation: Inverse variation:

Recap 8.1
Direct variation: Inverse variation: Joint variation: Tell whether the following are inverse variation, direct variation, or neither.
1) 2)
3) 4)
5) The variable z varies jointly with x and y. Use the given values to write an equation relating x, y, and z. Then find y when x = ­4 and y = 5. x = 8, y = 6, z = 12
1
Homework Evens Answers, pg 555­556: 20. Inverse variation 22. Neither
28. 30. A 24. z = ­2xy; 40 26. z = 20xy; ­400
32. y = axz
2
40. a) b) About 26.27 Hz. 2
Date: ______________
Objective­ Graph Simple Rational Functions (8.2)
• Parent function: (Hyperbola)
D: ____________________
R: ____________________
• Graph of V asymptote: ________
H asymptote: ________
Ex 1: Graph the following and state the domain and range.
a)
b) 1) Identify + graph the asymptotes
2) Plot two points to the left and right of the vertical asymptote (4 in total). 2
2
D: ____________________
D: ____________________
R: ____________________
R: ____________________
3
• Graph of V asymptote: H asymptote: Ex 2: Graph and state the domain and range.
a)
2
2
D: ____________________
R: ____________________
b) 2
2
D: ____________________
R: ____________________
4