Sp 09 Review Topics for Final

1. Given any set of ordered pairs, equation or graph.

a) Be able to determine if it represents a function

b) Be able find the domain and range Sect 3.1 ( HW 23-37, 53)

b) Evaluate the function Sect 3.1 ( HW 39-61)

2. Sect 3.2 Be able to graph a quadratic function using the vertex, x and y intercept(s).

( HW 33-51)

3. Sect 3.4 Be able to graph the four basic functions .

Be able to shift these functions, left, right, up or down. Be able to stretch them vertically and reflect them. ( HW 11-15, 19-37, 45-59)

4. Sect 3.6 Given two functions f(x) and g(x), be able to find new functions,

and evaluate these functions at given x values. Don’t worry about finding the domains of these new functions. ( HW 11-25, 35-57 )

5. Sect 4.1

Be able to graph an exponential function (HW 27-35, 51-65)

Be able to do compound interest problems. ( HW 81-89) I will give formulas if needed.

6. Sect 4.3

Be able to evaluate logarithms of any base. ( HW 33 – 51)

Be able to change an exponential equation to logarithmic equation and vice versa. ( HW 17 -31)

Be able to solve logarithmic equations for x (HW 81-89)

7. Sect 4.5

Be able to combine logarithms using properties on page 371. ( HW 41-51)

8. Sect 4.6 Be able to solve an Exponential or Logarithmic Equation. ( HW 5-21, 49-65)

9. Sect 5.1 Be able to divide polynomials by synthetic division. Know the Factor and Remainder Theorem.

( HW 11-15, 25-29, 41-45)

10. Sect 5.3 Be able to find the zeros of a third or fourth degree polynomial.

( HW 17-27)

11. Sect 6.2 Be able to solve a system using Gaussian Elimination ( Hw 35-43)

12. Sect 6.3 Be able to add, subtract, multiple matrices ( HW 13-35)

13. Sect 6.4 Be able to find an inverse matrix. (HW 5-15)

14. Sect 7.1 Be able to find the equation of a parabola given information about its graph.

Be able to graph a parabola. HW 27-37, 47-53

15. Sect 7.2 Be able to find the equation of an ellipse given information about its graph

Be able to graph an ellipse HW 17-23, 27-33

16. Sect 7.3 Be able to find the equation of a hyperbola given information about its graph. HW 7-11

17. Sect 8.3, 8.4 Be able to find the nth term of an arithmetic or geometric sequence.

18. Be able to use it to find any term of the sequence. Be able to find the sum of the first n terms of an arithmetic or geometric series.

( Sect 8.3 HW 15-21, 27, 29) (Sect 8.4 HW 17- 19, 25-33)

19. Sect 8.6 Permutations and Combinations.

( HW 29-59)