Review #11 Rational Functions
Algebra II Name ______
Review #11 Rational Functions Date ______Period _____
Graph the following rational functions.
x / f(x)x / f(x)
1.
Domain: ______
V.A. : ______
H.A. : ______
x / f(x)x / f(x)
2.
Domain: ______
V.A. : ______
H.A. : ______
x / f(x)x / f(x)
3.
Domain: ______
V.A. : ______
H.A. : ______
x / f(x)x / f(x)
4.
Domain: ______
V.A. : ______
H.A. : ______
Variation
5. If y varies inversely as x and x = 4 when y = 16, find x when y= 3.
6. If y varies directly as x and y = 7 when x = 1.5, find y when x = 4.
7. If y varies jointly as x and z and y = 60 when x = 3 and z = 4, find y when x = 6 and z = 8.
8. If y varies inversely as x and x = 4 when y = 8, find x when y = 16.
9. If y varies directly as x and y = 7 when x = 2, find y when x = 9.
10. If y varies jointly as x and z and y = 6 when x = 30 and z = 14, find y when x = 16 and z = 2.
11. The illumination (in luxes) of a surface varies inversely with the square of the distance (in meters) from the light source to the surface. A light 25 meters from the surface registers 10 luxes. What would it measure 50 meters from the surface?
12. The illumination (in luxes) of a surface varies inversely with the square of the distance (in meters) from the light source to the surface. A light 20 meters from the surface registers 5 luxes. What would it measure 45 meters from the surface?
Review
13. Simplify:
14. Simplify:
Page 3 of 4