Download Graphing Test Review

Graphing Test Review
I. NOTES
1. What is a relation?
2. What is a function?
3. What are the five characteristics all linear equations must have?
4. What is the x-intercept and when does it occur?
5. What is the y-intercept and when does it occur?
6. What does slope describe in math? What are other ways a word problem may ask you for slope?
7. What is the formula for finding slope?
8. What is the slope-intercept form of a line?
9. What does the graph of y = 6 look like? What is its slope?
10. What does the graph of x = 4 look like? What is its slope?
11. What does the graph of a line with a positive slope look like?
12. What does the graph of a line with a negative slope look like?
13. What can you use to determine whether or not a graph is a function?
II. FUNCTIONS
Determine whether each relation is a function. Then, find the inverse of each relation and state whether or not it is a
function.
14. {(2,1), (0,4), (–1,1), (–2,3)}
15. {(1,2), (9,–4), (1,4), (–3,–3)}
function?
function?
Inverse:
Inverse:
function?
function?
Determine whether the graph is a function.
16.
17.
III. DOMAIN AND RANGE
18. Find the range of the function f(x) = 3x – 6 if the domain is {–4, 0, 3}.
19. Find the domain of the function g(x) = 2x + 4 if the range is {–2, 6, 10}
20. Find the domain and range of the following graph:
Domain:
Range:
IV. LINEAR EQUATIONS
Determine if each equation is linear. If so, state the slope and the y-intercept.
21.
1
3
y  4 x
3
2
22.
1
(2 x  3 y )  7
6
23. 6xy = 12
24. Does the ordered pair (3,1) lie on the line y = 2x – 5? Name two other points that lie on this line.
Find the x- and y-intercepts of the following equations.
25. 5x – 3y = –12
26. 3y = 18
x-intercept:
x-intercept:
y-intercept:
y-intercept:
27. 5y – 2 = 2x
x-intercept:
y-intercept:
28. Find the slope of the line passing through the points (3,4) and (–2,5).
29. Find the slope of the line passing through the points (2,9) and (–3,–6).
30. What is the slope of the following graph?
31. Graph the line 2x + y = –2
32. Graph 3x – 6y = 12.
V. WRITING EQUATIONS
33. What is the equation that represents the line that has a slope of –5 and passes through the point (2, –4)?
34. What is the equation of the line passing through the points (1, -7) and (-3, -12)?
35. The table below shows the coordinates of five points on line l.
X
Y
-4
8
-2
4
0
0
2
-4
4
-8
What is the equation of line l?
36. A line passes through the points (2, 6) and (4, 12). What is the value of y when x is 28?
37. What is the equation of the line that is parallel to 5x – 3y = 12 and passes through the point (-3, 4)?
38. What is the equation of the line that is perpendicular to 3x + 2y = 8 and passes through the point (9, -6)?
VI. GRAPHING INEQUALITIES
39. Graph 2x – y = 4. Name three ordered pairs that are solutions to the inequality.
40. What inequality is represented by the graph below?
41. Which of the ordered pairs below is/are a solution(s) to the inequality 4x – 2y < 10?
A.) (4, 8)
B.) (2, -1)
C.) (0, -1)
D.) (2, 10)