Download Rational Functions – Quiz 1

Name_________________________
Review for Pre-requisite Exam
1.
2.
3.
4.
How do you find the vertical asymptotes of a rational function?
How do you find the x intercepts of a rational function?
Does every rational function have a y intercept?
What do you look at to help determine what the horizontal (or end behavior) asymptote is?
x 5
5. Identify the vertical asymptote(s) of f x  
x  4x  1
2x  5
6. Identify the horizontal asymptote(s) of f  x  
x 1
3x  12 2 x  4

5 x 2  10 x
x
2
7. Perform the operations
8. Graph: f  x  
4x
1

x  x  30 x  5
2
x 2  3x  2
25 x
x 1
5x2
3x  6
x3
Know how to do all of the following.
9. Evaluate functions.
10. Find x and y intercepts.
11. Find points of intersections of 2 functions.
12. Find composite functions and identify domain and range. Find g  f x . f  g x . ( f g h)( x)
13. Determine if a function is even odd or neither.
14. All Parent functions, sketch, name, and state domain and range are they even ,odd or neither.
15. Translation of all parent functions. (Domain and range of new function.)
16. Write linear equations in all forms.
17. Know how to find equations for parallel or perpendicular slopes.
18. Graph functions.
19. Use interval notation
20. Know basic Pythagorean identities and how to use them to simplify trig equations.
21. Express degrees in radians (no decimals). –130 ________
450_________
22. Express radians in degrees (no decimals). ¾π________
-(5/6)π__________
11
3
sec
23. Find the exact trigonometric value. No decimals!! Watch your signs. tan
= _______.
4
6
24. State the amplitude, period, phase shift, and vertical translation of the sinusoidal function.


y   sin 3  x    2
3

b gbgb gbg
Check old homework and practice problems on pg 37 for review.