Calculus Quiz

QUESTION 1

1. Find the limit.

		Does not exist
		-∞
		5
		∞

2 points   

QUESTION 2

1. Express as a single logarithm. (logat - logas) + 5logau

		loga
		logatu5s
		loga
		loga

2 points   

QUESTION 3

1. Express as a single logarithm. 3log6x + 5log6(x - 6)

		15 log6x(x - 6)
		log6x(x - 6)
		log6x3(x - 6)5
		log6x(x - 6)15

2 points   

QUESTION 4

1. Solve the equation. x = 

		{-4}
		{4}

2 points   

QUESTION 5

1. Write as the sum and/or difference of logarithms. Express powers as factors. log4

		log4(x + 6) - 3log4x
		log4(x + 6) -log4x
		log4(x + 6) + 3log4x
		3log4x -log4(x + 6)

2 points   

QUESTION 6

1. Find the limit.

		Does not exist
		0
		∞
		-∞

2 points   

QUESTION 7

1. Find the limit if it exists.

		62
		-
		-62

2 points   

QUESTION 8

1. Express as a single logarithm. 6logam - logan + logaj - 5logak

		loga
		loga
		loga
		loga

2 points   

QUESTION 9

1. Find the limit.

		1
		∞
		0
		-∞

2 points   

QUESTION 10

1. Write as the sum and/or difference of logarithms. Express powers as factors. logw

		logw11 +logwx - logw4
		logw7x
		logw11x -logw4
		logw11 +logwx + logw4

2 points   

QUESTION 11

1. Express as a single logarithm. logcx + logcy

		logcx ∙ logcy
		logc
		logcxy
		logc(xy)

2 points   

QUESTION 12

1. Find the limit.

		-∞
		-1
		∞
		0

2 points   

QUESTION 13

1. Find the domain of the function. h(x) = 

		{x|x ≠ -8, 0, 8}
		all real numbers
		{x|x ≠ 2}
		{x|x ≠ 0}

2 points   

QUESTION 14

1. Find the limit.

		-∞
		1
		3
		0

2 points   

QUESTION 15

1. Find the intervals on which the function is continuous. y = 

			continuous on the interval
			continuous on the interval
			continuous on the interval
			continuous on the interval

2 points   

QUESTION 16

1. Find the limit.

		- 1/3
		-∞
		5
		∞

2 points   

QUESTION 17

1. Write as the sum and/or difference of logarithms. Express powers as factors.  log14 19/17

		log1419 ÷ log1417
		log1419 - log1417
		log1417 - log1419
		log1419 + log1419

2 points   

QUESTION 18

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

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

2 points   

QUESTION 19

1. Find the limit if it exists. x3/4

		64
		3/4
		256
		192

2 points   

QUESTION 20

1. Find the limit.

		1
		0
		- 1/5
		does not exist

2 points   

QUESTION 21

1. Find the intervals on which the function is continuous. y = 

		continuous on the intervals (-∞,  -] and [, ∞)
		continuous on the interval [, ∞)
		continuous everywhere
		continuous on the interval [-, ]

2 points   

QUESTION 22

1. Find the intervals on which the function is continuous. y = 

		continuous on the interval
		continuous on the interval
		continuous on the interval
		continuous on the interval

2 points   

QUESTION 23

1. Express as a single logarithm. 6logbq - logbr

		logb
		logbq6 ÷ logbr
		logb
		logb(q6 - r)

2 points   

QUESTION 24

1. Find the intervals on which the function is continuous. y =  

		discontinuous only when θ = 0
		discontinuous only when θ =
		discontinuous only when θ = π
		continuous everywhere

2 points   

QUESTION 25

1. Write as the sum and/or difference of logarithms. Express powers as factors. log5

		5log5x - 6log5y
		6log5y - 5log5x
		5log5x + 6log5y
		log5

2 points   

QUESTION 26

1. Find the limit if it exists. 4x

		1
		15/4
		¾
		3/16

2 points   

QUESTION 27

1. Write as the sum and/or difference of logarithms. Express powers as factors.  log5

		Log5(14 ) - Log5y
		Log514 +  Log5x - Log5y
		Log5y - Log514 -  Log5x
		Log514 ∙  Log5m ÷ Log5y

2 points   

QUESTION 28

1. Find the limit. (3x5 - 2x4 + 4x3 + x2 + 5)

		105
		41
		57
		169

2 points   

QUESTION 29

1. Express as a single logarithm. 10loga2 + 7loga7

		loga210 ∙ loga77
		loga(20 + 49)
		loga
		loga21077

2 points   

QUESTION 30

1. Solve the equation. 5-x = 1/125

		{-3}
		{3}

2 points   

QUESTION 31

1. Find the limit. (x3 + 5x2 - 7x + 1)

		15
		29
		does not exist
		0

2 points   

QUESTION 32

1. Find the limit.

		1/3
		∞
		- 1/7
		0

2 points   

QUESTION 33

1. Divide numerator and denominator by the highest power of x in the denominator to find the limit.

		5
		125
		does not exist
		25

2 points   

QUESTION 34

1. Find the limit.

		∞
		0
		1
		-∞

2 points   

QUESTION 35

1. Find the limit.

		121
		does not exist
		11
		±11

2 points   

QUESTION 36

1. Solve the equation. 2x2 - 3= 64

		{3}
		{, - }
		{6}
		{3, -3}

2 points   

QUESTION 37

1. Divide numerator and denominator by the highest power of x in the denominator to find the limit.

	7/2
		0
		∞

2 points   

QUESTION 38

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

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

2 points   

QUESTION 39

1. Find the domain of the function.

		all real numbers
		{x|x ≠ 6}
		{x|x > 6}
		{x|x ≥ 6}

2 points   

QUESTION 40

1. Find the limit if it exists. (x + 3)2(x - 3)3

		25
		-125
		-3125
		1

2 points   

QUESTION 41

1. Solve the equation. 92x ∙  27(3 - x) = 1/9

		{10}
		{-11}
		{-8}

2 points   

QUESTION 42

1. Divide numerator and denominator by the highest power of x in the denominator to find the limit.

		9
		81
		does not exist
		729

2 points   

QUESTION 43

1. Divide numerator and denominator by the highest power of x in the denominator to find the limit.

		- 1/3
		- 3
		0
		-∞

2 points   

QUESTION 44

1. Find the limit.

		Does not exist
		∞
		-∞
		7

2 points   

QUESTION 45

1. Find the intervals on which the function is continuous. y =  

		discontinuous only when θ = 1
		discontinuous only when θ =
		continuous everywhere
		discontinuous only when θ = -1

2 points   

QUESTION 46

1. Find the limit if it exists. (x - 24)1/3

		1
		-3
		9
		3

2 points   

QUESTION 47

1. Write as the sum and/or difference of logarithms. Express powers as factors. log3

		log36 + log3x
		log36x
		log36 + log3x
		log3+ log3

2 points   

QUESTION 48

1. Find the limit.

		-8
		3/2
		∞
		8

2 points   

QUESTION 49

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

		{x|x ≠ 23}
		{x|x ≤ }
		{x|x ≠ }
		{x|x ≤ 23}

2 points   

QUESTION 50

1. Find the limit.

		-∞
		Does not exist
		0
		∞

2 points