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2015-01-06 12:48:44 UTC
x2 - 3
find:
1. domain
2. range
3. continuity
4. increasing/decreasing/constant behavior
5. boundedness
6. vertical/horizontal asymptotes
7. extrema
8. even/odd/neither
9. For g(x) = x + 6
4 find g-1(x).
10. Is h(x) = 4 x3 - 5x - 1
2 a polynomial function? If so, what is the leading coefficient and the
degree?
11. How is f(x) = 3(x + 2)
2 + 5 transformed into g(x) = 6(x - 5)
2 + 9
12. Is k(x) = 3
x2 a power function? If so, what is the power and the constant of variation?
13. Divide x3- 2 x2 + 4x - 2 by x - 3.
14. Divide x3 + 3 x2 - 8 x + 7 by x - 2.
15. What is the remainder when x29 - 7 x14 + 8 is divided by x - 1?
16. What is the remainder when x32 - 5 x15 + 12 is divided
by x + 1?
17. Find all the zeros of f(x) = x3 - x2 + x - 21.
18. Find all the zeros of f(x) = x3 + 7 x - 22.
19. Tell how the graph of y = -3 + 4
x + 2 can be obtained from the graph of y = 1
x by using
transformations.
20. Tell how the graph of y = 5 + 2
x - 4 can be obtained from the graph of y = 1
x by using
transformations.
21. Find the interval(s) where the function f(x) = 3-x is decreasing.
22. Graph the logistic function f(x)= 15
1 + â -2 x . Sketch the graph.
23. List the transformations used to obtain the graph of g(x) = 5 ln(x - 1) + 3 from the graph of f(x)
= ln x.
24. Let f(x) = â5 (x + 1)
2 and g(x)= x-2
2 . Find the function fâg.
25. Which of the twelve basic functions are odd functions?
Thanks!