Precalculus - Practice Test and Quiz Multiple Choice

Question 1

 

Solve the problem. If f(x) = 9x3 + 7x2 - x + C and f(-2) = 1, what is the value of C?

		C = 43
		C = -101
		C = -5
		C = -45

0 points  

Question 2

 

Give the domain and range of the relation. {(8, 2), (5, -8), (-1, 5), (-1, 7)}

		domain = {5, 8, -1, 1}; range = {-8, 2, 5, 7}
		domain = {5, 8, -1}; range = {-8, 2, 5, 7}
		domain = {-8, 2, 5, 7}; range = {5, 8, -1}
		domain = {5, 8, -1, -11}; range = {-8, 2, 5, 7}

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Question 3

 

Find the value for the function. Find f(-x) when f(x) = 3x2 - 4x + 1.

		3x2 + 4x + 1
		-3x2 + 4x + 1
		-3x2 + 4x - 1
		3x2 + 4x - 1

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Question 4

 

Give the domain and range of the relation. {(11, -3), (-2, -7), (-5, -6), (-5, 6)}

		domain = {-3, -7, -6, 6}; range = {11, -2, -5}
		domain = {11, -2, -5, -15}; range = {-3, -7, -6, 6}
		domain = {11, -2, -5, 5}; range = {-3, -7, -6, 6}
		domain = {11, -2, -5}; range = {-3, -7, -6, 6}

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Question 5

 

Find the value for the function. Find f(x + h) when f(x) = 3x2 - 4x - 3.

		3x2 + 3xh + 3h2 - 4x - 4h - 3
		3x2 + 3h2 - 4x - 4h - 3
		3x2 + 3h2 + 2x + 2h - 3
		3x2 + 6xh + 3h2 - 4x - 4h - 3

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Question 6

 

Find the value for the function. Find f(x + h) when f(x) = .

0 points  

Question 7

 

Determine whether the relation is a function. {(-1, -6), (2, -5), (4, 9), (8, -5), (10, 3)}

		Function
		Not a function

0 points  

Question 8

 

Find the value for the function. Find f(2x) when f(x) = .

		2

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Question 9

 

Find the domain of the function. f(x) = x2 + 8

		{x|x ≠ -8}
		{x|x > -8}
		all real numbers
		{x|x ≥ -8}

0 points  

Question 10

 

Find the value for the function. Find f(-9) when f(x) = |x|- 6.

		-3
		3
		15
		-15

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Question 11

 

Give the domain and range of the relation. {(-4, 8), (7, 9), (12, 5), (4, -5)}

		domain = {4, -4, 12, 7}; range = {-5, 8, 5, 9}
		domain = {4, -4, 12, 7}; range = {-5, -5, 8, 5, 9}
		domain = {-5, 8, 5, 9}; range = {4, -4, 12, 7}
		domain = {4, -4, 12, 7}; range = {-5, -8, 8, 5, 9}

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Question 12

 

Determine whether the relation is a function. {(1, -2), (1, -4), (4, -3), (9, -1), (12, 5)}

		Function
		Not a function

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Question 13

 

Determine whether the relation is a function. {(-6, 8), (-6, -5), (2, -8), (6, -8), (9, 6)}

		Not a function
		Function

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Question 14

 

Solve the problem. If a rock falls from a height of 50 meters on Earth, the height H (in meters) after x seconds is approximately    What is the height of the rock when x =  1.9 seconds? Round to the nearest hundredth, if necessary.

		67.69 m
		40.69 m
		32.67 m
		32.31 m

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Question 15

 

Solve the problem. If f(x) =  and f(5) = -15, what is the value of A?

		A = -91
		A = -29
		A = 91
		A = 29

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Question 16

 

Find the domain of the function. g(x) = 

		{x|x > 49}
		{x|x ≠ -7, 7}
		{x|x ≠ 0}
		all real numbers

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Question 17

 

Solve the problem. If a rock falls from a height of 60 meters on Earth, the height H (in meters) after x seconds is approximately   H(x) = 60 - 4.9x2. When does the rock strike the ground? Round to the nearest hundredth, if necessary.

		2.5 sec
		3.5 sec
		12.24 sec
		1.58 sec

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Question 18

 

Solve the problem. It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is f(t) = 0.28t + 1, for t > 10. Find the approximate number of fish that can be caught if you fish for 38 minutes.

		About 24 fish
		About 42 fish
		About 11 fish
		About 40 fish

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Question 19

 

Find the value for the function. Find f(7) when f(x) = .

		3
		2

0 points  

Question 20

 

Find the value for the function. Find f(-4) when f(x) = x2 - 3x + 1.

		27
		29
		3
		5

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Question 21

 

Find the domain of the function. f(x) = 

		{x|x > -4}
		{x|x ≠ -4}
		all real numbers
		{x|x ≠ 0}

0 points  

Question 22

 

Determine whether the relation is a function. {(-6, 3), (-1, 3), (1, -1), (1, 1)}

		Not a function
		Function

0 points  

Question 23

 

Solve the problem. If f(x) = , f(4) = 0, and f(6) is undefined, what are the values of A and B?

		A = 4, B = 6
		A = -6, B = -4
		A = -4, B = -6
		A = 6, B = 4

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Question 24

 

Find the domain of the function. f(x) = 3x - 5

		all real numbers
		{x|x ≥ 5}
		{x|x ≠ 0}
		{x|x > 0}

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Question 25

 

Find the value for the function. Find f(1) when f(x) =  .

		- 1
		- 9
		-
		7