Math 1



Math 1

Spring Final Study Guide Name:____________ Period:_

|1. |Write the equation best fits this graph? | |

| |[pic] | |

| | | |

| | | |

| | | |

2. Graph the equation [pic]?

[pic]

3. Write inequality is best represented by the following number line? _____________

[pic]

4. Draw the number line that best represents the inequality [pic] ?

[pic]

5. Solve the equation [pic] for y.

Graph following systems.

|6. [pic] |[pic] |9. .[pic] | |

| | | |[pic] |

|7.[pic] |[pic] |10. | |

| | |[pic] |[pic] |

|8.[pic] |[pic] | | |

11. Write recursive function describes the sequence 1 , 5 , 9 , 13 , 17 , …

12. Write the recursive function for the sequence 0, 2, 4, 6, …..

13. Write recursive function best matches the explicit function [pic] .

14. Write recursive function best matches the explicit function f(x) = -2x + 4.

15. What is the explicit function best matches the recursive function

[pic] ?

16. What is the explicit function best matches the recursive function

f(1) = 3, f(x) = f(x) -6

17. What is the explicit for the sequence 2, 6, 18, 54, …?

Decide if each statement below is (a) True or (b) False.

18. All Geometric sequences are exponential.

19. All linear functions are arithmetic.

20. Every exponential function is continuous.

21. The slope of the line that passes through the points (8 , -3) & (-2 , 2) is -2.

For each equation below, find the rate of change.

|22. [pic] | |

|23. [pic] | |

|24. [pic] | |

|25. [pic] | |

[pic]

26. List the feature of the function for the graph above.

Domain: Range: increase: decrease:

Minimum: maximum: x-intercept: y-intercept:

27. Write it as an interval notation. [pic] ?

[pic]

Describe the transformations above for questions 28-32

|28. Pre-image: Shape I |

|Image: Shape II _______________________ |

| |

|29. Pre-image: Shape II |

|Image: Shape III ______________________ |

| |

|30. Pre-image: Shape IV |

|Image: Shape II ______________________ |

| |

|31. Pre-image: Shape I |

|Image: Shape IV ____________________ |

| |

|32. Pre-image: Shape I |

|Image: Shape III _____________________ |

33. How many Lines of Symmetry does a regular hexagon have?

34. How many degrees of Rotational Symmetry does a regular decagon have?

35. What is true of all circles?

a. Each point on the circle is the same distance to every other point on the circle.

b. Each point on the circle is the same distance from the center.

c. There is a limited number of points on the outside of the circle.

d. The only shape that can be inscribed inside of a circle is a hexagon.

[pic]

42. Write congruency statements for all of the congruent triangles from the figure below.

43. When graphing a function, what key features are most helpful?

44. In the equation [pic], k represents _______________________.

45. On a graph, the equation [pic] means ______________________.

46. If [pic], and [pic], then f(x) = ________________

47. If [pic], and [pic], then g(x) = _______________________

48. If [pic], and [pic], then f (3) = _______

48. If [pic], and [pic], then g(x) = ____________

49. Given f(x) = g(x) + k. Write the translation form for this graph.

| |[pic] |

| | |

50. Write the translation form for each table below.

|a. |x |b. |x |

| |f (x) | |f (x) |

| |g(x) | |g(x) |

| | | | |

| |0 | |0 |

| |1 | |1 |

| |2 | |2 |

| |3 | |3 |

| |4 | |4 |

| |1 | |1 |

| |-2 | |-2 |

| |-5 | |-5 |

| |10 | |2 |

| |7 | |-1 |

| |4 | |-4 |

| |1 | |-7 |

| | | | |

| | | | |

|c. |x |d. |x |

| |f (x) | |f (x) |

| |g(x) | |g(x) |

| | | | |

| |0 | |0 |

| |1 | |1 |

| |2 | |2 |

| |3 | |3 |

| |4 | |2 |

| |1 | |3 |

| |-2 | |4 |

| |-5 | |5 |

| |6 | |-2 |

| |3 | |-1 |

| |0 | |0 |

| |-3 | |1 |

| | | | |

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