Algebra 2CP
Sections 7-1, 7-2, 6-4, Graphing polynomials, 6-6, 6-7, and 6-9
Polynomial Functions
Can you…
Note: * = without a calculator
-Evaluate a polynomial function at a number or an algebraic expression
Given f ( x)  4 x, g ( x)  2 x  1, and h( x)  x 2  1find:
1. f(-1)
2. h(x - 4)
3. g(x2)
-Looking at a graph determine if the graph represents on odd-degree polynomial
or an even-degree polynomial and tell the number of real zeros
4. - 9. Use the graphs from Pg. 336 #28-33
-Write a possible polynomial function by looking at the graph
10. - 15. Use the graphs from Pg. 336 #28-33
*-Graph a polynomial written in factored form…Redo the Polynomial W/S…these are really important!!!
*-Solve an equation using quadratic techniques
16. x 4  29 x 2  100  0
17. 2 x 4  6 x 2  20  0
18. 6 x  4 x  16  0
*-Show that a binomial is a factor of a polynomial and find the remaining
factors
19. x3  2 x 2  x  2; x  1
20. 2 x3  5 x 2  28 x  15; x  5
21. 2 x3  7 x 2  53x  28; 2 x  1
*-List all the possible rational zeros of a function
22. h( x)  x3  x 2  80 x  300
23. p( x)  x3  3x  2
24. f ( x)  2 x5  x 4  2 x  1
*-Find all the rational zeros of a function
25. h( x)  x3  x 2  80 x  300
26. p( x)  x3  3x  2
27. f ( x)  2 x5  x 4  2 x  1
-Find all real zeros of a polynomial and tell how many complex zeros there are
28. p( x)  6 x 4  22 x3  11x 2  38x  40
29. g ( x)  5x 4  29 x3  55 x 2  28 x
-Find the sum, difference, product, and quotient of functions
30. f ( x)  x 2  3x  1; g ( x)  4 x  5
31. f ( x)  x 2  5 x  1; g ( x)  3x  2
-Find the composition of functions: f(g(x)) and g(f(x))
32. f ( x)  x 2  3x  1; g ( x)  4 x  5
33. f ( x)  x 2  5 x  1; g ( x)  3x  2
*-Find the inverse of a function and graph the function and its inverse
34. f ( x)  2 x  1
35. g ( x) 
1
x4
3
36. h( x) 
2x  3
6
Have you…
reviewed your notes and practiced the vocabulary
completed the practice tests in the book
practiced additional problems
investigated the online resources at www.ca.algebra2.com