Name______Date______Class______
Select the best answer.
1.Which situation could be represented by the graph below?
AA person slows down and then travels at a constant speed.
BA person travels at a constant speed and then slows down.
CA person travels at a constant speed and then speeds up.
DA person speeds up and then travels at a constant speed.
2.Which situation would NOT be represented by a graph with distinct points?
FCost of buying 1, 2, or 3 packs of trading cards
GNumber of visitors to a movie theater per day for one week
HDistance traveled by a rollercoaster car during 20 seconds
JAmount of money earned based on the number of magazines sold
3.Which relation is represented by the mapping diagram below?
A{(3, 2), (5, 2), (7, 4)}
B{(2, 3), (4, 7)}
C{(5, 2), (7, 4)}
D{(2, 3), (2, 5), (4, 7)}
4.What is the domain of the relation below?
F0 ≤x≤ 3
G0 ≤x≤ 4
H3 ≤x≤ 3
J3 ≤x≤ 4
5.What is the range of the relation below?
x / 0 / 1 / 2 / 3y / 1 / 2 / 4 / 8
A{1, 2}
B{0, 1, 2, 3}
C{1, 2, 4, 8}
D{0, 1, 2, 3, 4, 8}
6.Which of the following relations is NOT
a function?
F{(1, 5), (3, 1), (7, 9)}
G{(1, 5), (2, 5)}
H{(1, 1), (2, 2), (3, 3)}
J{(5, 1), (5, 2)}
7.Which equation shows the relationship between x and y in {(1, 3), (2, 1),
(3, 1)}?
Ay 2x 5Cy 2x
Byx 4Dyx 2
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8.Which function could represent the following situation: “An internet cafe charges $0.20 per minute.”
Ff(m)m 0.20Hf(m) 0.20m
Gf(m)Jf(m) 20m
9.An architect must convert 216, 183, and 129 yards to feet. Which function rule describes the situation?
Af(y)Cf(y)
Bf(y) 3yDf(y)y 3
10.Evaluate the function f(x) 3x2 5
when x11.
F358H38
G38J358
11.Which is the dependent variable in the following situation?
“Milk sells for $3.39 per gallon.”
Anumber of gallons
Btotal cost
Cexpiration date
Dtime of purchase
12.Which function is graphed for the domain {2, 0, 2, 4}?
Fyx 1Hyx2 1
Gy |x| 1Jy |x 1|
13.Which function is graphed below?
Ayx 2Cyx2 2
By 2xDy 2x 1
14.The table shows the percent of students on the honor roll for four years. Draw a scatter plot and trend line.
Which is the best prediction for the percent of students on the honor roll
in 2009?
F35%H55%
G40%J70%
15.Find the next three terms of the arithmetic sequence 5, 11, 17, 23, …
A29, 34, 38C25, 31, 37
B28, 33, 38D29, 35, 41
16.What is the 18th term of the arithmetic sequence 2, 2, 6, 10,…?
F72H68
G70J66
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1.A runner in a race ran quickly for the first few minutes, slowed down some and
ran a steady pace for most of the race, and then ran as fast as he could at the very end. Choose the graph that best represents this situation.
______
2.Dog food is sold in 7 pound bags. Sketch a graph to show the weight of dog food purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.
______
3.Express the relation {(2, 3), (2, 4),
(3, 4)}, as a mapping diagram.
4.Give the range of the relation.
______
5.Give the domain of the relation.
x / 1 / 0.5 / 0 / 0.5y / 2 / 2 / 5 / 6
______
6.Tell whether the relation is a function. Explain.
{(4, 1), (3, 2), (2, 1), (1, 2)}
______
______
______
7.Determine a relationship between the
x- and y-values. Write an equation.
y / 2 / 5 / 8 / 11 / 14
______
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Write a rule in function notation for each situation.
8.A car can travel 32.5 miles per gallon of gasoline.
______
9.A lawyer will be paid of the amount awarded in a lawsuit.
______
10.Evaluate the function f(x) (2x)2 1 when x 2 and when x1.
______
11.Identify the independent and dependent variables.
A certain movie earns $1200 for each screen it is shown on.
______
______
Graph each function.
12.y |x 1|; D: {3, 1, 1, 3}
13.yx2 4
14.The table shows the number of employees in a company over five years. Draw a scatter plot and trend line.
Year / ’01 / ’02 / ’03 / ’04 / ’05Employees / 15 / 20 / 23 / 30 / 34
Based on the trend line, predict how many employees the company will have in 2008.
______
15.Find the next three terms of the
arithmetic sequence 8, 14, 20, 26, …
______
16.What is the 57th term of the arithmetic sequence 11, 8, 5, 2,…?
______
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1.B2.H
3.D4.H
5.C6.J
7.A8.H
9.B10.J
11.B12.G
13.C14.J
15.D16.J
1.Graph A
2.; discrete
3.
4.0 ≤ y ≤ 4
5.D: {1, 0.5, 0, 0.5}
6.yes; each domain value is paired with only one range value.
7.y 3x 18.f(g) 32.5g
9.f(a) a10.15, 3
11.I: number of screens; D: total earnings
12.
13.
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Functions
Answers continued
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14.; 45
15.32, 38, 44
16.157
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