Download Function Theory Classwork

Function Theory Classwork
Name ________________________
1. Find f(8), f(0), f(-6).
12. For what values of x does g(x) = 4?
2. Is f(3) positive or negative? f(-6)?
13. For what values of x does g(x) = -5?
3. For what numbers x is f(x) = 0?
14. Determine f(2) + g(-4)
4. For what numbers x is f(x) > 0?
15. For what numbers x is g(x) > 0?
5. For what numbers x is f(x) < 0?
16. For what numbers x is g(x) < 0?
6. What is the domain of f?
17. What is the domain of g?
7. What is the range of f?
18. What is the range of g?
8. What are the x-intercepts?
19. What are the x-intercepts?
9. What is the y-intercept?
20. What is the y-intercept?
10. How often does the line y = 6 intersect
the graph?
21. Find f(g(0)) =
22. Find (f - g)(5) =
11. How often does the line x = 0 intersect
the graph?
Find the domain of the following functions.
23. g ( x) 
2
x  49
25. h( x ) 
24. f ( x)  x  5
2
26. f ( x)  x 2  3x  5
27. g ( x) 
x
x  5x  6
2
28. h( x)  x  2  3
Determine the following functional values.
g ( x)  5 x  4
3x  1
x2  6
f ( x)  2 x 2  3 x  1
29. f(2) =
37. –g(x) =
30. g(-3) =
38. g(2x) =
31. f(g(0)) =
39. f(2x) =
32. g(x + 5) =
40. (f + g)(1) =
33. f(x + 1) =
41. (f – g)(2) =
34. g(-x) =
42. g(f(1)) =
35. f(-x) =
43. (f / g) (3) =
36. – f(x) =
44. g(g(g(1)))=