Final Review Topics

1. Study all material covered from Ch 10.

2. Sect 1.4 Functions. Be able to evaluate and simplify a difference quotient.

( HW 71-81, 103-109) I will give you either a radical, rational or polynomial function.

3. Sect 1.5 Intervals of Increase or Decrease ( HW 39-45)

Average Rate of Change ( HW 75-81)

Sect 1.7 Transformations of Functions ( HW 11-13)

Sect 1.9 Inverse Functions ( HW 7-29, 39, 41)

4. Sect 2.5 Be able to solve any 4^th degree polynomial equation. It would help to know the Rational Zeros Theorem, Descartes Rule of Signs.

( HW 19-27, 75, 77)

5. Sect 2.6 Be able to graph a Rational Function. Be able to determine vertical and horizontal asymptotes. Be able to find the x and y intercepts.

( HW 31-41, 45, 47)

6. Sect 3.4 Be able to solve any Exponential or Logarithmic Equation.

( HW 13-23, 33-39,81-107)

7. Sect 4.5 Be able to graph any sine or cosine wave over a two period interval.

( HW 39-51)

Sect 4.6 Graphs of other Trigonometric Functions

( HW 15-35)

8. Sect 4.7 Inverse Sine, Cosine and Tangent Function.

( HW 1-19, 55-73)

9. Sect 5.3 Be able to solve a Trigonometric Equation. ( HW 11-43)

Know Sect 5.2, 5.4

10. Sect 7.4 Partial Fraction Decomposition ( HW 9 – 37)

11. Sect 8.1 Be able to solve a linear system of equations using Gaussian Elimination and back substitution. ( HW 63-73)

12. Sect 9.2, 9.3 Be able to find the nth term for any Arithmetic or Geometric Sequence. Be able to find the sum of the first n terms for an Arithmetic or Geometric Sequence.

Sect 9.2 ( HW 51-55, 67-73 ) Sect 9.3 ( HW 67-83, 93-103)

13. Appendix A.4 Be able to simplify rational expressions ( HW 25-41 Specify the values when the simplified expression can used as a substitute for the original)

Be able to simplify expressions ( HW 71-81, 85-93)