## 2nd Semester Final Review

##### Surveys for your Peers

##### COURSE MATERIALS

1. Pencil - Please complete all work neatly in pencil

2. Calculator - TI-84 Plus C *Silver Edition* is **highly **recommended

3. Notebook with lined paper for notes and homework

4. Colored pen for grading and taking notes (other than blue or black ink)

5. Different colored highlighters

Optional: Graph paper, straight edge

## Official Course Competencies

1. Analyze and interpret the behavior of functions, including end behavior, increasing and decreasing, extrema, asymptotic behavior, and symmetry.

2. Solve polynomial, rational, exponential, and logarithmic equations analytically and graphically.

3. Find real and complex zeros of polynomial functions analytically and graphically.

4. Graph polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions.

5. Determine domain and range of polynomial, rational, exponential, logarithmic, power, absolute value, and piecewise-defined functions.

6. Use transformations to graph functions.

7. Perform operations, including compositions, on functions and state the domain of the resulting function.

8. Determine whether a relation is a function when represented numerically, analytically, or graphically.

9. Determine whether a function is one-to-one when represented numerically, analytically, or graphically.

10. Determine the inverse of a relation when represented numerically, analytically, or graphically.

11. Classify functions by name when represented numerically, analytically, or graphically.

12. Determine regression models from data using appropriate technology and interpret results.

13. Read and interpret quantitative information when presented numerically, analytically, or graphically.

14. Justify and interpret solutions to application problems.

15. Compare alternative solution strategies.

16. Calculate and interpret average rate of change.

17. Model and solve real world problems.

18. Solve systems of three linear equations in three variables.

19. Solve systems of linear inequalities.

20. Communicate process and results in written and verbal formats.