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

H3 ≤x≤ 3

J3 ≤x≤ 4

5.What is the range of the relation below?

x / 0 / 1 / 2 / 3
y / 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

Byx 4Dyx 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 x11.

F358H38

G38J358

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}?

Fyx 1Hyx2 1

Gy |x|  1Jy |x 1|

13.Which function is graphed below?

Ayx 2Cyx2 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,…?

F72H68

G70J66

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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 / 0.5
y / 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.

x / 1 / 2 / 3 / 4 / 5
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 x1.

______

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.yx2 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 / ’05
Employees / 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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