Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write the first 4 terms of the sequence. Indicate
whether the sequence is arithmetic or geometric.
a1 = –54;
an = an – 1 + 7
A. | –54, –60, –66, –72;
arithmetic | B. | –54, –378,
–2646, –18522; geometric | C. | –54, –7.7,
–1.1, –0.2; geometric | D. | –54, –47,
–40, –33; arithmetic |
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2.
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Joanna has $625 in her checking account but plans to
withdraw $78 each month for her share of the apartment utilities. Which function represents the
balance of her checking account, B, after x months without considering other
withdrawals?
A. | B = 78 – 625x | B. | B = 625(78)x | C. | B = 625 – 78x | D. | B =
78x2 + 625x |
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3.
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D’Ann received a gift card to her favorite fast food
restaurant. The table shows how much remains on her gift card after each purchase.
Determine which linear function best models the situation.
Purchases,
x | 0 | 1 | 2 | 3 | 4 | Amount Remaining, y
(dollars) | 25 | 21.93 | 17.94 | 12.79 | 9 | | | | | | |
A. | y = –4x + 25 | B. | y = –4.07x – 25 | C. | y = –4.07x + 25 | D. | y = –4x |
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4.
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Which of the following equations represents the data given
below?
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | y | –7 | –2 | 13 | 38 | 73 | 118 | 173 | | | | | | | | |
A. | y = 5x2 –
7 | B. | y = 5x2 + 7 | C. | y = x2 -
7x | D. | y = x2 +
7x |
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5.
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Determine the function that models the given
data.
A. | y = 11x | B. | y = 2x2 + 5x + 4 | C. | y = 17x – 6 | D. | y =
x2 – 2x + 4 |
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6.
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Which of the following equations represents the data given
below?
A. | y = 60x3 + 26.67x2
+ 9.33x + 6 | B. | y =
14x3 + 16x2 + 19x +
6 | C. | y = 3.33x3 + 17.33x2 +
33.33x + 6 | D. | y =
0.33x3 + 6x2 – 3x +
6 |
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7.
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Describe the transformations of the linear parent function,
f(x) = x, that will result in the graph of the linear function
h(x) = 3(x + 2).
A. | vertical stretch by a factor of two and translation three units
to the left | B. | vertical stretch by a
factor of three and translation two units to the left | C. | vertical stretch by a factor of two and translation three units to the
right | D. | vertical compression by a factor of one-third and translation two
units to the right |
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8.
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Identify the domain and range of the function described by
the equation f(x) = -3(2x + 5) + 9 and the table. Write the domain and range in
set builder notation.
x | f(x) | –5 | 24 | –3 | 12 | 1 | –12 | 2 | –18 | 4 | –30 | | |
A. | domain is {x |  }, range is {f(x) | f(x)
 } | B. | domain is {x |
x ³ –5}, range is
{f(x) | f(x) £
24} | C. | domain is {x | x £ –5}, range is {f(x) |
f(x) ³
24} | D. | domain is {x | x £ 4}, range is {f(x) | f(x)
³
–30} |
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9.
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Describe the transformations of the cubic parent function,
f(x) = x3 that will result in the function h(x) =
–2(x + 1)3 – 9.
A. | vertical stretch by a factor of  , reflection over the y-axis, and translation 1 unit
left and 9 units up | B. | vertical stretch by a
factor of 2, reflection over the x-axis, and translation 1 unit left and 9 units
up | C. | vertical stretch by a factor of 2, reflection over the
x-axis, and translation 1 unit left and 9 units down | D. | vertical stretch by a factor of 9, reflection over the y-axis, and translation 1
unit right and 2 units down |
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Matching
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Determine if each function represented is cubic,
exponential, linear, or quadratic, then write a function relating the variables. Use the choices
provided to determine your answers.
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1.
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Cubic
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2.
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Exponential
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3.
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Linear
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4.
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Quadratic
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5.
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y = –2x + 24
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6.
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y = 4x2 – 28x +
24
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7.
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y = 4x3 – 125
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8.
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y =
–125(0.2)x
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Identify which of the functions is the result of the
following transformations to the graph of the quadratic parent function f(x) =
x2.
A. | Vertical stretch by a factor of 3 and a
translation of 2 units to the right | B. | Horizontal stretch by a
factor of  and a translation of
 units to the
left | C. | Vertical stretch by a factor of 3 and a translation of 2 units
up | D. | A translation of 3 units to the left and 2 units
down |
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9.
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g(x) = (x + 3)2 –
2
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10.
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h(x) = 3(x –
2)2
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11.
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j(x) = (3x +
2)2
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