Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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Find the domain and range of the function represented by the
graph.
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1.
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a. | domain: –1, 1, 3; range: –2, –1, 0, 1,
2 | b. | domain: 1, 2, 3, 4; range: –2, –1, 0, 1,
2 | c. | domain: –2, –1, 0, 1, 2; range: –1, 1,
3 | d. | domain: 1, 2, 3, 4; range: –1, 1, 3 |
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2.
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a. | domain: –2, 0, 2, 4; range: –4, –3, –2,
–1 | b. | domain: –4, –3, –2, –1; range: –2, 0, 2,
4 | c. | domain: 1, 2, 3, 4; range: –2, 0, 2, 4 | d. | domain: 1, 2, 3,
4; range: –4, –3, –2, –1 |
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3.
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The table shows the times and places in a cross-country running meet of four
runners from the same team. Find the domain and range of the function represented by the
table. Place
taken | 8 | 14 | 22 | 24 | Time | 13 min
46 sec | 13 min
50
sec | 14 min
12 sec | 14 min
25 sec | | | | | |
a. | domain: 8, 14, 22, 24
range: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec,
14 min 25 sec | b. | domain: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14 min 25 sec
range: 1, 2,
3, 4 | c. | domain: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14 min 25 sec
range: 8, 14,
22, 24 | d. | domain: 1, 2, 3, 4
range: 13 min 46 sec, 13 min 50 sec, 14 min 12 sec, 14
min 25 sec |
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4.
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Describe the domain and range of the function y =  . a. | domain: all real numbers; range: all real numbers greater than or equal to
zero | b. | domain: all real numbers greater than or equal to zero; range: all real
numbers | c. | domain: all real numbers; range: all real numbers less than or equal to
zero | d. | domain: all real numbers less than or equal to zero; range: all real
numbers |
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Describe the domain and range of the function. Is the domain discrete
or continuous?
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5.
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a. | domain: 0, 1, 2, 3,
range: 0, 2, 4, 6;
continuous | c. | domain: 0, 1, 2,
3,
range: 0, 2, 4, 6;
discrete | b. | domain:  ,
range:  ;
discrete | d. | domain:  ,
range:  ;
continuous |
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Use the graph or table to write a linear function that relates y to
x.
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6.
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a. | y =  x + 4 | c. | y =  x
– 4 | b. | y =  x + 4 | d. | y =  x –
4 |
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7.
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a. | y =  x – 6 | c. | y =  x
– 6 | b. | y =  x + 6 | d. | y =  x +
6 |
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8.
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a. | y =  x + 3 | c. | y =  x
– 3 | b. | y =  x – 3 | d. | y =  x +
3 |
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9.
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a. | y = –2 | c. | y = x – 2 | b. | x = y
– 2 | d. | x =
–2 |
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10.
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Which equation does not belong with the other three?
a. | 11 = 3xy | c. | 22y =
6x | b. | y =  x | d. | 11y =
3x |
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Short Answer
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Does the equation represent a linear or nonlinear function?
Explain.
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1.
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4x – 3y = –9
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2.
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The rectangular base of a rectangular prism has an area of 36 square
centimeters. Is the volume of the prism a linear or nonlinear function of the height of the
prism?
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Other
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1.
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Extended Response Each dolphin at a zoo is fed an amount of food
equal to about 5% of its body weight each day. a. Write
an equation in function form that represents the amount y (in pounds) of food a dolphin eats
each day for its weight x.
b. Create an input-output table for the equation in
part (a). Use the inputs 140, 200, 260, 320, 380, and 440.
c. Find the domain and
range of the function represented by the table.
d. The zoo has three dolphins weighing
150 pounds, 370 pounds, and 460 pounds. How many pounds of food do all three dolphins eat in a day? a
week?
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