Pre-Calculus Final Exam Review Sheet (Part I)



Pre-Calculus Final Exam Review Sheet (Part I)

[pic]

1. Find the inverse of A. 2. Find the inverse of B.

3. Find the determinant of A. 4. Find the determinant of B.

5. Solve: [pic] 6. Solve: [pic]

7. Find the distance between: [pic].

8. Find the slope of the line containing [pic].

9. Find the roots of the equation: [pic].

10. Find the roots of the equation: [pic].

11. Give the x and y intercepts of [pic]

12. Give the x and y intercepts of [pic].

13. Give the maximum value of [pic].

14. Give the minimum value of [pic].

For #’s 15 – 22, use the equation: [pic].

15. Graph the equation.

16. Describe the equation by degree.

17. Find the x and y intercepts.

18. What is the slope?

19. Write the equation of a line perpendicular to it.

20. Write the equation of a line parallel to it.

21. Find the inverse of the equation.

22. Evaluate the equation if [pic].

State the domain of #’s 23 – 25 in interval notation.

23. [pic]

24. [pic]

25. [pic]

Use [pic] to answer #’s 26 – 29:

26. Give the vertical asymptotes, if any.

27. Give the horizontal asymptotes, if any.

28. Give the slant asymptotes, if any.

29. Give the holes, if any.

30. Describe how to find the solution to [pic].

For #’s 31 and 32, describe the end behavior:

31. [pic] 32. [pic]

33. If given a function containing the point ( -4, -1 ), what point will a 2nd function contain if it is symmetric with respect to:

a) y = x b) y = - x c) the x axis d) the y axis

For #’s 34 – 38, [pic]. Find:

34. [pic] 35. [pic] 36. [pic] 37. [pic]

38. Write the equation of the line perpendicular to g(x) through the point ( 2, -1 ).

39. Write the equation of a vertical line that passes through the point ( 5, -2 ).

40. Describe [pic] by degree and number of terms.

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