Find the Domain and Range for Each of the Following
Domain and Range
Class Work
Find the domain and range for each of the following
1. {(1,2), (3,4), (5,6)}
2. {(4,3), (3,2), (4,2)}
3. {(5,1), (3,1), (-4,1)}
4.5.6.
7. 8. 9.
10.11.
12.13.
Homework
Find the domain and range for each of the following
14. {(3,1), (-2,6), (1,4)}
15. {(1,2), (2,2), (1,2)}
16. {(2,1), (5,1), (-6,7)}
17.18.19.
20. 21. 22.
23.24.
25.26.
Discrete vs. Continuous
Class Work
Is the relation discrete or continuous?
47. {(1,2), (3,4), (5,6)}
48. {(4,3), (3,2), (4,2)}
49. {(5,1), (3,1), (-4,1)}
50.51.52.
53. 54. 55.
56.57.
58.59.
Homework
Is the relation discrete or continuous?
60. {(3,1), (-2,6), (1,4)}
61. {(1,2), (2,2), (1,2)}
62. {(2,1), (5,1), (-6,7)}
63.64.65.
66. 67. 68.
69.70.
71.72.
Relations and Functions
Class Work
Is the relation a function?
73. {(1,2), (3,4), (5,6)}
74. {(4,3), (3,2), (4,2)}
75. {(5,1), (3,1), (-4,1)}
76.77.78.
79. 80. 81.
82.83.
84.85.
Homework
Is the relation a function?
86. {(3,1), (-2,6), (1,4)}
87. {(1,2), (2,2), (1,2)}
88. {(2,1), (5,1), (-6,7)}
89.90.91.
92. 93. 94.
95.96.
97.98.
Evaluating Functions
Class Work
Let f(x)= 3x+4 and g(x)= |x-4|, find the following
99. f(2)
100.f(3)
101. g(6)
102. g(2)
103. 2f(6)
104. .5g(2)
105. f(4) – g(3)
106. g(5) – f(5)
107. f(0)2
108. g(3)3
109. g(a)
110. f(2b)
Class Work
Let f(x)= (x-1)2 and g(x)= |2x-3|, find the following
111. f(2)
112.f(3)
113. g(6)
114. g(2)
115. 2f(6)
116. .5g(2)
117. f(4) – g(3)
118. g(5) – f(5)
119. f(0)2
120. g(3)3
121. g(a)
122. f(2b)
Graphing Linear Equations Chapter Problems
Graph using a table
Classwork
For the equations below, make a tablewith at least 3 ordered pairs, plot the points and connect them to form the line.
123.y = 3x – 4
- y = -2x + 4
- y = x – 3
- y = x + 4
- y = - x + 1
Homework
For the equations below, make a tablewith at least 3 ordered pairs, plot the points and connect them to form the line.
- y = -x – 2
- y = 2x + 1
- y = x
- y = -2x – 2
- y = - x + 4
Graph using the slope and y-intercept
Classwork
- Use lines A, B, C and D to answers the questions.
- What is the y-intercept of each line?
- Is the slope of each line positive, negative, zero or undefined?
- What is the slope of lines E, F, G and H?
- What are the equations of lines E, F ,G and H?
Homework
- Use lines I, J, K and L to answers the questions.
- What is the y-intercept of each line?
- Is the slope of each line positive, negative, zero or undefined?
- What are the slopes of lines M, N, O and P?
- What is the equation of lines M, N, O and P?
Graph using intercepts
Classwork
Rewrite the equations in standard form. Graph the intercepts and then the line that passes through them.
- y = 3x + 4
- y = -2x + 3
- y = x + 7
- y = x – 2
- y = - 3x
- y = - x + 5
- y – 4 = 2(x – 5)
- y + 5 = -3(x – 4)
- y + 6 = (x – 6)
- y – 3 = (x + 7)
Homework
Rewrite the equations in standard form. Graph the intercepts and then the line that passes through them.
- y = 6x + 4
- y = -3x – 2
- y = x – 3
- y = x + 4
- y = - x – 2
- y = -7x
- y – 5 = 2(x – 3)
- y + 2 = -4(x – 2)
- y – 3 = (x – 3)
- y + 1 = 2(x + 1)
Horizontal & Vertical Lines
Classwork
Determine if the following equations are horizontal, vertical, neither or cannot be determined.
- y = -5
- x = 7
- 2x + 4y = 8
- 7x – 21 = 0
- 3x + 2y = 3x – 4
Homework
Determine if the following equations are horizontal, vertical, neither or cannot be determined.
- x = -5
- y = 7
- 8x + -4y = -2
- -6x – 3y = -6x + 2
- -8x = -24
Slope Formula
Classwork
Find the slope of the line through each of the following two points.
- (-12,-5), (0,-8)
- (12,-18),(11,12)
- (-18,-20),(-18,-15)
- (-20,-4),(-12,-10)
- (8,10),(0,14)
- (6,9),(3,-9)
- (1,2),(5,7)
- (3,-3),(12,-2)
- (-4,-8),(-1,1)
- (4,7),(-3,7)
Homework
Find the slope of the line through each of the following two points.
- (3,-9),(1,1)
- (7,4),(3,8)
- (-3,0),(5,12)
- (8,-2),(12,-2)
- (6,-3),(2,9)
- (-3,7),(-4,8)
- (5,9),(5,-8)
- (-5, 0.5),(-6,3)
- (-7,1),(7,8)
- (-2,1),(5,7)
Parallel and Perpendicular Lines
Classwork
Match the following parallel equations from each column.
- y = 3x – 2
- y = -2x + 1
- y = x – 7
- 6x – 2 = 7y
- 2(y + x) = 18
- 3y = x + 18
- -4x + 17 = 2y
- 7y – 6x = 0
- -5(3y – 9x) = 30
- 14y = 12x + 28
Match the following perpendicular equations from each column.
- y = -4x – 4
- 2y = 3x + 12
- 7x + y = -10
- y – 5 = (x + 4)
- 3(4y + 8x) = 0
- y + 3 = -2(x – 5)
- 4y = x – 4
- 2x = 14y -8
- y + 4 = (x – 4)
- 2x + 3y = 15
- Write an equation that would be parallel to the line y = 4x + 7
- Write an equation that would be perpendicular to the line 4x + 6y = -12
Homework
Match the following parallel equations from each column.
- y = 3x+ 7
- 4y = 16x + 12
- 6x + 12y = 1
- y – 4 = (x – 11)
- 0 = 22x – 11y
- 24x – 6y = 18
- y + 5 = 2(x – 13)
- 2y + x = 24
- 3(15y – 12x) = 27
- -12x = -4y – 16
Match the following perpendicular equations from each column.
- 6y = -12x + 9
- y – 4 = (x + 7)
- 5(2x – 8y) = 35
- 35x – 5y = 0
- 19 + y = -3x
- y – 9 = -4(x – 2)
- 3x + 21y = 0
- 8(14y – 7x) = 24
- y = -5x + 5
- -10x + 30y + 20 = 0
- Write an equation that would be parallel to the line 6y = -24y– 18
- Write an equation that would be perpendicular to the line y – 4 = (x + 4)
Graph using point slope
Classwork
Graph each equation
- y – 2 = (x – 3)
- y + 5 = 2(x + 2)
- y – 4 = -3(x – 3)
- y + 7 = (x – 1)
- y – 3 = - (x + 5)
Homework
Graph each equation
- y – 2 = (x + 4)
- y + 5 = -2(x – 4)
- y – 1 = 4(x – 2)
- y – 5 = - (x – 1)
- y – 0 = (x – 3)
How to write equations from given information
Classwork
- Write an equation in point slope form for the line through the given point with the given slope.
- (3,4); m = 6
- (-2,-7); m = -
- (7,-4); m = -3
- (4,0); m = 1
- (-4,-4); m =
- A line passes through the given points. First write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.
- (-1,0), (1,2)
- (3,5), (0,0)
- (6,-2), (9,-8)
- (-1,-5), (-7,-6)
- (-3,4), (3,-2)
- Write the equation of the line through the given points in standard form.
- (6,3), (-4, 2)
- (12,3), (-8,-4)
- (15,-4), (8, -3)
- (7,2), (8,5)
- (20,-10), (-30, 0)
- A line has an x-intercept of 8 and y-intercept of 12.
- Write an equation for the line.
- Write an equation that is parallel to this line.
- Write an equation that is perpendicular to the line from part a.
- Write the equation of the line through (-3,-2) and is parallel to the line y = -2x + 5
- Write the equation of the line through (7,4) and perpendicular to y = x – 5
Homework
- Write an equation in point slope form for the line through the given point with the given slope.
- (5,-4); m = -2
- (-2, -3); m = 4
- (7,4); m =
- (9,-9); m = 3
- (6,0); m = -
- A line passes through the given points. First write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.
- (-10,-50), (5,25)
- (0,10), (10,-20)
- (0.5,9), (50,-90)
- (8,9), (5,-6)
- (-7, 4), (-3,6)
- Write the equation of the line through the given points in standard form.
- (1,4), (-1,1)
- (5,-3), (3,4)
- (2,4), (-3,-6)
- (5,3), (4,5)
- (0,0), (-1,-2)
- A line has an x-intercept of -4 and y-intercept of 16.
- Write an equation for the line.
- Write an equation that is parallel to this line.
- Write an equation that is perpendicular to the line from part a.
- Write the equation of the line through (8,5) and is parallel to the line y = x + 7
- Write the equation of the line through (-2,5) and perpendicular to y = - x + 3
Scatter Plots and Lines of Best Fit
Classwork
255. Predict the test score of someone who spends 48 minutes studying.
256 Predict the test score of someone who spends 34 minutes studying.
257. Draw a scatter plot from the following data:
Size of shoe Height (inches)
5 55
5.5 58
6 62
7 68
6.5 63
7.3 70
8 79
8.7 88
258. Consider the scatter graph to answer the following:
Which two points would give the line of best fit?
A and B
A and C
D and B
There is no pattern
259.Consider the scatter graph to answer the following:
Which two points would give the line of best fit?
A and B
B and C
C and D
There is no pattern
Homework
260. Using the scatter graph, predict the mile time of someone who spends 6 hours a week training.
261. Using the scatter graph, predict the mile time of someone who spends 12 hours a week training.
262. Draw a scatter graph from the following data,
Time spent studying (min)Grade
5597
3178
5290
2061
4284
4790
3181
263. Consider the scatter graph to answer the following:
Which point would most likely be on the line best fit?
A
B
C
There would be no line of best fit
264. Consider the scatter graph to answer the following:
Which two points would give the line of best fit?
A and D
A and C
B and D
There is no pattern
Determining the Prediction Equation
Class Work
265. Use the two points (7,14) and (15,27)
to write an equation for the line of best fit.
266. If the prediction equation is y=.5t+60, where
t represents time in minutes, what will the person get on his test if he studies for 45 minutes?
267. If the prediction equation to determine a test grade is y=.5t+60, and someone received an 80 on the test, how long did they study for?
Consider the scatter graph to answer 268-270:
268. What is the slope of the line of best fit that
passes through (3.4, 7) and (8, 3)?
269. What is the y-intercept of the line of best fit that
passes through (3.4, 7) and (8, 3)?
270. Consider the scatter graph to answer the
following: The equation for the line of best fit is
y = -1.06x + 10.7. Determine the value for x=15?
Is this an interpolation or extrapolation?
Homework
271. Using the scatter graph below use the two
points (3.4, 7) and (9, 1) to write an equation for
the line of best fit.
272. If the prediction equation for a test grade is y=.52t+65, where t represents the time in minutes, what grade will someone earn if they study for 30 minutes.
273. If the prediction equation for a test grade is y=.52t+65, where t represents the time in minutes, how long did someone study for if they received an 83 on the exam?
Consider the scatter graph to answer 274-276:
274. What is the slope of the line of best fit passing
through (2.7, 11.1) and (9.4, 3.7)?
275. What is the y-intercept of the line of best fit
passing through (2.7, 11.1) and (9.4, 3.7)?
276. Consider the scatter graph. The equation for the line of best fit is y= -.98x+13.6. Determine the value for x=5. Is this an interpolation or extrapolation?
Absolute Value Functions
Class Work
On a separate sheet of paper, graph the following. Sate the domain and range of each.
- y = |x|
- y =|x + 3|
- y = |x – 2|
- y = |x + 4|
- y = |x – 3|
- y = |x| + 3
- y = |x| - 2
- y = |x| + 4
- y = |x| - 3
- y = |x - 6| - 2
- y = |x + 4| +3
- y =-|x|
- y= 3|x|
- y = -2|x+4| +3
- y = .5|x – 6| -2
Homework
On a separate sheet of paper, graph the following. Sate the domain and range of each.
- y =|x - 3|
- y = |x + 2|
- y = |x - 4|
- y = |x + 3|
- y = |x| - 3
- y = |x| + 2
- y = |x| - 4
- y = |x| + 3
- y = |x + 6| + 2
- y = |x - 4| - 3
- y =|-x|
- y= -3|x|
- y = 2|x - 4| - 3
- y = -.5|x + 6| + 2
Greatest Integer Function
Class Work
Evaluate the following.
- [2.2]
- [3.5]
- [5.9]
- [7.98]
- [8]
- [-3.9]
- [-3.4]
- [0]
- [3.2 +4.5]
- [6.1 – 6.7]
On a separate sheet of paper graph
316. y = [x + 1]
317.f(x)= 2[x]
318.g(x)=-[x]
319.h(x)= [x] -3
Homework
Evaluate the following.
- [3.4]
- [3.8]
- [7.95]
- [9.98]
- [10]
- [-3.8]
- [-2.3]
- [0.1]
- [3(2.1)]
- [-2(4.2)]
On a separate sheet of paper graph
330. y = [x - 1]
331.f(x)= 3[x]
332.g(x)=[-x]
333.h(x)= [x] + 3
Piecewise Functions
Class Work
334.
a. f(-2)
b. f(0)
c. f(4)
d. state the domain and range of f
e. graph f
335.
a. f(-2)
b. f(2)
c. f(4)
d. state the domain and range of f
e. graph f
336.
a. f(-2)
b. f(1)
c. f(4)
d. state the domain and range of f
e. graph f
337.
a. f(-2)
b. f(0)
c. f(4)
d. state the domain and range of f
e. graph f
338.
a. f(-2)
b. f(2)
c. f(4)
d. state the domain and range of f
e. graph
Homework
339.
a. f(-2)
b. f(0)
c. f(4)
d. state the domain and range of f
e. graph f
340.
a. f(-2)
b. f(2)
c. f(4)
d. state the domain and range of f
e. graph f
341.
a. f(-2)
b. f(1)
c. f(4)
d. state the domain and range of f
e. graph f
342.
a. f(-2)
b. f(0)
c. f(4)
d. state the domain and range of f
e. graph f
343.
a. f(-2)
b. f(2)
c. f(4)
d. state the domain and range of f
e. graph
Graphing Linear Inequalities
Class Work
Graph the following inequalities
344.
345.
346.
347.
348.
349.
Write the equation for the inequality graphed.
350.351.
Class Work
Graph the following inequalities
352.
353.
354.
355.
356.
357.
Write the equation for the inequality graphed.
358.359.
Linear Relations- Multiple Choice
1. Find the domain of {(1,3), (5,6), (6,8)}
A. {1, 5, 8}
B. {1, 5, 6}
C. {3, 6, 8}
D. Set of Reals
2. Find the range of f(x)= |x - 2| +3
A. [3, ∞]
B. [1, ∞)
C.(1, ∞)
D. [3, ∞)
3. What is domain of the following graph?
A. {x| -10 x 10}
B. {x| -10< x< 10}
C. {x| -6 x -2 or 0 x 6}
D. {x| -10 x -4 or -2 x< 4 or 6 x 10}
4. Which choice represents a discrete set?
A. the time it takes people to tie their shoes
B. amount of rain in a given week
C. number of people attending a play
D. the number of rotations of a wheel
5. Which of the following is a function?
A. x2 + y2 = 4
B.x + y2 = 4
C.x2 + y = 4
D.4x2 + y2 = 4
6. Given f(x) = 2(x-6)2 +2, find f(3)
A. 2
B. 20
C. 29
D. 38
7. The x-intercept of 4x + 3y = 12 is
A. 4
B. (4,0)
C. 3
D. (3,0)
8. The slope of 4x + 3y = 12 is
A. 4
B. -4
C.
D.
X / Y0 / 3
2 / 5
3 / 7
9. The equation of the line containing the points in the table is
A. y= x + 3
B. y= 2x + 3
C. y= x + 3
D. Points in table are not collinear
10. A line parallel to y = 2x + 6 is
A. y= 2x -1
B. y-4 = 2(x+3)
C. 10x – 5y = 7
D. All of the above
11. The slope of a line perpendicular to the line thru (3,6) and (5,2) is
A. -2
B.
C.
D. 2
12. An example of a line with no slope is
A. y = x
B. y = 3
C. x = 2
D. y = 0 – x
13. A line thru (3,-2) and (4,6) has equation
A. y – 6 = 8(x – 4)
B. y – 6 = 4(x – 4)
C. y + 2 = 8(x + 3)
D. Both A and C
14. The equation of a line perpendicular to f(x) is
A. y= -2x +4
B. y= 2x + 5
C. y= x – 3
D. y= x
15. Using the graph of f(x), find f(6).
A. -1
B. -2
C. -3
D. Undefined
In 16 and 17, consider the piecewise function
16. Find g(3)
A. -9
B. 1
C. -9 or 1
D. Does not exist
17. The slope at x=1 is
A. -3
B. -1
C. 1
D. 0
18. Find [3.75]
A. 3
B. 3.7
C. 3.8
D. 4
19. Find [-4.14]
A. -5
B. -4.2
C. -4.1
D. -4
20. When graphing y > 2x -3
A. solid boundary and shade above
B. dotted boundary and shade above
C. solid boundary and shade below
D. dotted boundary and shade below
21. Which point could be used as a test point to decide where to shade when graphing y > 4x?
A. (0 ,0)
B. (-2 ,-8)
C. ( 3 , 10)
D. both B and C
Extended Response
1. An employer offers $12 an hour for the first eight hours of work and 1.5 times that rate for overtime.
a. Create a piecewise function that models this situation.
b. Make a graph of the equation in part A (Let the domain be [0,15])
c. How much does a person make if they work 10 hours?
d. If a raise of $2 was given, describe how the piecewise function would change.
2. Cal C.’s grandmother offers him $5 for every A he receives on his report card.
a. If he takes 8 classes, what are the domain and range?
b. Is the answer in part A discrete or continuous? Is it a function?
c. If his grandfather gives him $10 for finishing the marking period, write an equation for how much he can make with one report card.
3. Line segment connects A(4,2) and B(7,6).
a. What is the slope of ?
b. is the side of a rectangle, what are the slopes of the other three sides.
c. Write the equation of .
4. Given y - 3 = (x – 8)
a. Write the equation in slope y-intercept form
b. Write the equation in standard form
c. The line is rotated about the point (8,3), what is the equation of the new line?
Answers
1)D:{1,3,5} R:{2,4,6}
2)D:{3,4} R:{2,3}
3)D:{-4, 3,5} R:{1}
4)D:{-3,1,2} R:{2,5,7}
5)D:{4,5,6} R:{6}
6)D:{-4,0,2} R:{3,4,5}
7)D:{-2,-1,2,3} R:{0,3,4,5,7}
8)D:{1,2} R:{3,4,5,6}
9)D:{-4,0,1,2,3} R:{5,6,7}
10)D:{-4,-2,1,3} R:{0,3,4,5,7}
11)D:{x-4} R:{y0}
12)D:{x-2 or x2} R:{Reals}
13)D:{Reals} R:{Reals}
14)D:{-2,1,3} R:{1,4,6}
15)D:{1,2} R:{2}
16)D:{-6,2,5} R:{1,7}
17)D:{-1,0,1} R:{6,7,8}
18)D:{2,4} R:{6,7,8}
19)D:{-5,0,5} R:{-2,-1,0}
20)D:{3,4,5,6} R:{1,2,3,4}
21)D:{5} R:{0,1,2,3}
22)D:{3,4} R:{2,3,4}
23)D:{-4,-2,2,4,5} R:{-3,2,4,5}
24)D:{-6x6} R:{-6y6}
25)D:{-6x0 } R:{-6,-2,2,4}
26)D:{Reals} R:{2}
47)D
48)D
49)D
50)D
51)D
52)D
53)D
54)D
55)D
56)D
57)C
58)C
59)C
60)D
61)D
62)D
63)D
64)D
65)D
66)D
67)D
68)D
69)D
70)C
71)C
72)C
73)yes
74)yes
75)yes
76)yes
77)yes
78)no
79)no
80)no
81)yes
82)no
83)yes
84)yes
85)yes
86)yes
87)no
88)yes
89)yes
90)no
91)no
92)yes
93)no
94)no
95)yes
96)no
97)yes
98)yes
99)10
100)13
101)2
102)2
103)44
104)1
105)15
106)18
107)16
108)1
109)|a-4|
110)6b+4
111)1
112)4
113)9
114)1
115)50
116).5
117)6
118)9
119)1
120)27
121)|2a-3|
122)(2b-1)2 = 4b2-4b+1
123)(0, -4), (4/3, 0), (1, -1)
124)(0, 4), (2, 0), (1, 2)
125)(0, -3), (3, 0), (1, -2)
126)(0, 4), (-8, 0), (1, 4.5)
127)(0, 1), (3/2, 0), (1, 1/3)
128)(0, -2), (-2, 0), (1, -3)
129)(0, 1), (-.5, 0), (1, 3)
130)(0, 0), (1, ¼), (2, ½)
131)(0, -2), (-1, 0), (2, -6)
132)(0, 4), (12, 0), (1, 11/3)
133)
- A(0, 0), B(0, 6), C(0, -5), D(0, -2)
- A: negative, B: positive, C: positive, D: zero
134)E: -1/2, F: -2, G: undefined, H: 1
135)E: -(x/2)+1, F: -2x+4, G: x=8, H: x-7
136)
- I(0, 8), J(0, 2), K(0, -1), L(0, -8)
- I: zero, J: negative, K: positive, L: positive
137)M: -1, N: 3/2, O: 1, P: -1/3
138)M: -x+5, N: (3x)/2, O: y=-4, P: -(x/3)-6
139)-3x + y = 4
- 2x + y = 3
- –x + y = 7
- –(2/5)x + y = 0
- 3x + y = 0
- (2/3)x + y = 5
- -2x + y = -6
- 3x + y = 7
- –(x/4) + y = -(15/2)
- –x + y = 10
- -6x + y = 4
- 3x + y = -2
- –(1/6)x + y = -3
- –x + y = 4
- (2/7)x + y = -2
- 7x + y = 0
- -2x + y = 2
- 4x + y = 6
- –(3/7)x + y = 12/7
- -2x + y = 1
- Horizontal
- Vertical
- Neither
- Vertical
- Horizontal
- Vertical
- Horizontal
- Neither
- Horizontal
- Vertical
- ¼
- -30
- Undefined
- -3/4
- -1/2
- 6
- 5/4
- 1/9
- 3
- 0
- -1/5
- -1
- 3/2
- 0
- -3
- -1
- Undefined
- -5/2
- ½
- 6/7
- 197
- 195
- 194
- 198
- 196
- 205
- 208
- 206
- 204
- 207
- Multiple Answers ex: y = 4x + 2
- Multiple Answers ex: y = (6/4)x + 2
- 220
- 216
- 218
- 219
- 217
- 228
- 229
- 226
- 227
- 230
- y = 1
- y = -(5/2)x + 4
- y-4=6(x-3)
- y+7=-(3/2)(x+2)
- y+4=-3(x-7)
- y=x-4
- y+4=(1/3)(x+4)
- y-1=x-2, y=x-1
- y-5=(5/3)(x-3), y=(5/3)x
- y+8=-2(x-9), y=-2x+10
- y+6=(1/6)(x+7), y=(1/6)x-(29/6)
- y+2=-1(x-3), y=-x+1
- –(x/10)+y=(12/5)
- –(7/20)x+y=-(6/5)
- (x/7)+y=-(13/7)
- -3x+y=-19
- (x/5)+y=14
- y=-(3/2)x+12
- y=-(3/2)x
- y=(2/3)x+1
- y=-2x+4
- y=-2x+18
- y+4=-2(x-5)
- y+3=4(x+2)
- y-4=(1/4)(x-7)
- y+9=3(x-9)
- y=-(2/3)(x-6)
- y+50=5(x+10), y=5x
- y-10=-3x, y=-3x+10
- y-9=-2(x-.5), y=-2x+10
- y-9=5(x-8), y=5x-31
- y-4=.5(x+7), y=.5x+(15/2)
- –(3/2)x+y=-.5
- (7/2)x+y=14.5
- -2x+y=0
- 2x+y=13
- -2x+y=0
- y=4x+16
- y=4x+4
- y=-(1/4)x+4
- y=x-3
- y=(3/2)x+8
257.
258. A and C
259. no pattern
260.
261.
262.
- A
- B and D
- 40 minutes
- -.4
- 6.2
- -5.2; extrapolated
- 6
- 1
- 8.7; interpolated
277.278.
279.280.
281.282.
283.284.
285.286.
287.288.
289.290.
291.292.
293.294.
295.296.
297.298.
299.300.
301.302.
303.304.
305.
- 2
- 3
- 5
- 7
- 8
- -4
- -4
- 0
- 7
- -1
316.317.
318.319.
- 3
- 3
- 7
- 9
- 10
- -4
- -3
- 0
- 6
- -9
330.331.
332.333.
334.a. 0e.
b. 0
c. -4
d. D:Reals; R:
335.a.4e.
b.4
c.12
d.D:Reals; R:
336.a. 2e.
b. 1
c. 4
d. D:Reals; R:
337.a. -2e.
b. 0
c. 4
d.D:Reals; R:
338.a. -5e.
b. 3
c. -4
d.D:Reals; R:
339.a. -5e.
b. 0
c. 4
d.D:Reals; R:
340.a. -2e.
b. -2
c. -4
d.D:Reals; R:
341.a. 1e.
b. 2
c. 2
d.D:Reals; R:
342.a. 0e.
b. 2
c. -4
d.D:Reals; R:
343.a. 4e.
b. 2
c. 4
d.D:Reals; R:
344.345.
346.347.
348.349.
350.
351.
352.353.
354.355.
356.357.
358.
359.