Free Printable Unit 1 Test Review Precalc

1.

a)

Function

b)

Not a Function

2.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

3.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

4.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

5.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

6.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

7.

What is the domain of the function?

a)

(3, ∞)

b)

[-3, ∞)

c)

(-∞, 4]

d)

(-∞, 4)

8.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

9.

What is the range?

a)

(-3, 3)

b)

[-4, 5)

c)

[-4 , 5]

d)

(-3 , 3]

10.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

11.

What is the range of the graph?

a)

[1, ∞)

b)

(1, ∞)

c)

(-∞, ∞)

d)

none of these

12.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

13.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

14.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

15.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

16.

How will you know that the graph illustrates a removable discontinuity?

a)

If the graph is continuous

b)

If the graph has a closed dot

c)

If the graph has a hole

d)

If the graph has lots of coordinates

17.

Which of the following best describes the continuity at x = 1?

a)

Continuous at x = 1

b)

Removable Discontinuity at x = 1

c)

Infinite Discontinuity at x = 1

d)

Jump Discontinuity at x = 1

18.

Which of the following best describes the continuity at x = 5?

a)

Continuous

b)

Removable Discontinuity at x = 5

c)

Infinite Discontinuity at x = 5

d)

Jump Discontinuity at x = 5

19.

Which of the following best describes the continuity at x = 5?

a)

Continuous at x = 5

b)

Removable Discontinuity at x = 5

c)

Infinite Discontinuity at x = 5

d)

Jump Discontinuity at x = 5

20.

Where are the discontinuities?

a)

Continuous

b)

Infinite Discontinuity at x = -1

c)

Jump Discontinuity at x = -1

d)

Removable Discontinuity at x = -1

21.

Where are the discontinuities?

a)

Removable Discontinuity at x = 5

Infinite Discontinuity at x = 3

b)

Removable Discontinuity at x = 3

Infinite Discontinuity at x = 5

c)

Removable Discontinuity at x = -5

Infinite Discontinuity at x = -3

d)

Removable Discontinuity at x = -3

Infinite Discontinuity at x = -5

22.

Name the discontinuity at x=2.

a)

Infinite Discontinuity

b)

Removable Discontinuity

c)

Jump Discontinuity

d)

Continuous at x=2

23.

Identify the type of location of the discontinuity/discontinuities.

a)

Infinite Discontinuity at x = 4

b)

Continuous

c)

Removable Discontinuity at x = 4

d)

Jump Discontinuity at x = 4

24.

Name the discontinuity at x=2.

a)

Infinite Discontinuity

b)

Removable Discontinuity

c)

Jump Discontinuity

d)

Continuous

25.

What are the Vertical Asymptotes of...

a)

x = 0, -5

b)

x=0, 5

c)

x = 2, -7

d)

x = -2, 7

26.

What is the Vertical Asymptotes?

a)

x= -5

b)

x= 5

c)

x= 6

d)

x= -6

27.

Find the vertical asymptotes and holes of the function.

a)

Holes: None;

VA: x = 1, -3

b)

Holes: x = -3;

VA: x = 1

c)

Holes: x = -3, 1

VA: None

d)

Holes: x = 1

VA: x = -3

28.

When finding the Horizontal asymptotes of a function, you should be thinking...

a)

"Set Bottom = to Zero"

b)

"Top = 0"

c)

"f(0)"

d)

"Look at the Degree of the top and bottom..."

29.

Find the horizontal asymptote.

a)

None

b)

$y=0$

c)

$y=\frac{-1}{3}$

d)

$y=-3$

30.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1

d)

y = 9

31.

Find the horizontal asymptote.

a)

$y=-2$

b)

none

c)

$y=0$

d)

$y=\frac{1}{2}$

32.

Find the horizontal asymptote.

a)

None

b)

y=-2

c)

y=2

d)

y=0

33.

The horizontal asymptote equals zero when:

a)

the degree of the numerator and denominator are equal

b)

the degree of the numerator is less than the degree of the denominator

c)

the degree of the numerator is greater than the degree of the denominator

d)

the numerator equals zero

34.

What is the increasing interval for the function below?

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,2\right]$

c)

$\left(-\infty,6\right]$

d)

$\left(-6,6\right)$

35.

Which are the intervals of decreasing for the graph?

a)

(2, ∞)

b)

(-∞, -1)

c)

(2, ∞)

d)

(.5, 2)

36.

The logarithmic function is increasing on

a)

$\left(0,\ 1\right)$

b)

$\left(0,\ \infty\right)$

c)

$\left(1,\ \infty\right)$

d)

$\left(-\infty,\ \infty\right)$

37.

List the types of intervals that the graph demonstrates in order.

a)

decreasing, constant, increasing, constant

b)

increasing, decreasing, constant

c)

increasing, constant, increasing, constant

d)

increasing, constant, decreasing, constant

38.

Where is the function increasing?

a)

[4, ∞)

b)

[−4, ∞)

c)

[6, ∞)

d)

4 < x < 6

39.

What are the extrema of the graph?

a)

Max = (0,-4)

Min = (-1.5,0) and (1.5, 0)

b)

Max = (0,1.5) and (0, -1.5)

Min = (-4,0)

c)

Max = (-1.5,0) and (1.5, 0)

Min = (0,-4)

d)

Max = (-4,0)

Min =(0,1.5) and (0, -1.5)

40.

What are the extrema of the graph?

a)

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

b)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

c)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

d)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

41.

Which of the following is the equation of the graph?

a)

b)

c)

d)

42.

Which of the following is the equation of the graph?

a)

b)

c)

d)

43.

Which of the following is the equation of the graph?

a)

b)

c)

d)

44.

Which of the following is the equation of the graph?

a)

b)

c)

d)

45.

Which of the following is the equation of the graph?

a)

b)

c)

d)

46.

Which of the following is the equation of the graph?

a)

b)

c)

d)

47.

Which of the following is the equation of the graph?

a)

b)

c)

d)

48.

Which of the following is the equation of the graph?

a)

b)

c)

d)

49.

Which of the following is the equation of the graph?

a)

b)

c)

d)

50.

Which of the following is the equation of the graph?

a)

b)

c)

d)

51.

Which of the following is the equation of the graph?

a)

b)

c)

d)

52.

Which of the following is the equation of the graph?

a)

b)

c)

d)

53.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

54.

What is the domain of the function?

a)

( - ∞ , - 5 ) U ( - 5 , ∞ )

b)

( - ∞ , 5 ) U ( 5 , ∞ )

c)

( - ∞ , - 5 ] U [ - 5 , 5 ] U [ 5 , ∞ )

d)

( - ∞ , - 5 ) U ( - 5 , 5 ) U ( 5 , ∞ )

55.

What is the domain of the function?

a)

[ 0 , ∞ )

b)

( - ∞ , - 8 ) U ( - 8 , 8 ) U ( 8 , ∞ )

c)

( - ∞ , - 8 ] U [ - 8 , 8 ] U [ 8 , ∞ )

d)

[ 0 , 8 ) U ( 8 , ∞ )

56.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

57.

Is the graph even, odd, or neither?

a)

Even Function

b)

Odd Function

c)

Neither

d)

Not a Function

58.

Is this graph even, odd, or neither?

a)

Even Function

b)

Odd Function

c)

Neither

d)

Not a Function

59.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

60.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

61.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f+g\right)\left(x\right)=$

a)

$5x^2+1$

b)

$5x^2-3$

c)

$6x+1$

d)

$6x-3$

62.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

a)

-4x - 3

b)

-4x +1

c)

6x + 1

d)

6x - 3

63.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$5x-3$

b)

$5x^2+2$

c)

$5x^2-7x+2$

d)

$5x-7$

64.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

a)

$\frac{x-1}{5x-2}$

b)

$\frac{5x-2}{x-1}$

c)

$\frac{-1}{3}$

d)

$-3$

65.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

a)

$4x^4-8x-8$

b)

$4x^4-8x$

c)

$4x^2-8x-8$

d)

$4x^2-8x$

66.

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(f\circ g\right)\left(x\right)=$

a)

$3x-2$

b)

$3x+8$

c)

$3x^2+8x-35$

d)

$3x-12$

67.

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(g\circ f\right)\left(x\right)=$

a)

$3x-2$

b)

$3x+8$

c)

$3x^2+8x-35$

d)

$3x-12$

68.

If $f\left(x\right)=5x$ , $g\left(x\right)=-2x+1$ , and $h\left(x\right)=x^2+6x+8$ , find $f\left(g\left(-2\right)\right)$ . (Your answer should be a number.)

(a)

69.

If $f\left(x\right)=5x$ , $g\left(x\right)=-2x+1$ , and $h\left(x\right)=x^2+6x+8$ , find $h\left(f\left(-5\right)\right)$ . (Your answer should be a number.)

(a)

70.

Given f(x) = x² + 5 and g(x) = 2x³ - 1,
find (f/g)(-3).

a)

-14/55

b)

14/55

c)

2

d)

-2

71.

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

a)

2

b)

5

c)

9

d)

14

72.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

73.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

74.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

75.

a)

Inverse Functions

b)

Not Inverse Functions

76.

What operation allows us to verify if functions are inverses?

a)

Multiplying

b)

Dividing

c)

Adding

d)

Composing

77.

What does an inverse function do?

a)

Nothing

b)

Makes it bigger

c)

Does the opposite of the original function

78.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

79.

TRUE or FALSE?
If f(g(x)) = x, then f and g must be inverses of one another.

a)

TRUE

b)

FALSE

80.

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

a)

g(-2) = -1

b)

g(2) = 1

c)

g(-2) = 1

d)

g(1) = 2

81.

TRUE or FALSE
If f is an invertible function and f(a) = b, then f^-1(b) = a.

a)

TRUE

b)

FALSE

82.

a)

9 - √17

b)

4

c)

2

d)

√8

83.

Which graph represents f^-1(x) over the same domain?

a)

b)

c)

d)

84.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

85.

What type of function is shown?

a)

exponential

b)

linear

c)

quadratic

d)

square root

86.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

87.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

88.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

a)

y = x² + 2

b)

y = -x² + 2

c)

y = x² - 2

d)

y = -(x + 2)²

89.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

90.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

91.

Which transformations are involved in the equation $y=\frac{1}{2}\sqrt{x+1}-1$ ?

a)

Horizontal translation left

b)

Vertical shrink

c)

Vertical translation down

d)

Horizontal translation right

e)

Vertical stretch

92.

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of $f\left(x\right)$ ?

a)

translates it left one unit and down 9 units

b)

translates it right one unit and down 9 units

c)

translates it up one unit and right 9 units

d)

translates it down one unit and left 9 units

93.

What does the transformation $f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4$ do to the graph of $f\left(x\right)$ ?

a)

Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

b)

Stretches the graph by a factor of 3 and translates up 4 units.

c)

Translates the graph left 1/3 of a unit and up 4 units.

d)

Translates the graph right 3 unites and down 4 units.

94.

Which of the following parent function(s) is (are) even?

a)

f(x) = x

b)

f(x) = |x|

c)

f(x) = x²

d)

f(x) = 2^x

e)

f(x) = 1⁄x²

95.

Which of the following parent function(s) has (have) a vertical asymptote?

a)

f(x) = 2^x

b)

f(x) 1∕x²

c)

f(x) = x³

d)

f(x) = lnx

e)

f(x) = √x

96.

Which statement is always true of an even non trig graph?

a)

A horizontal shift will change the symmetry.

b)

A reflection will change the symmetry.

c)

A vertical shift will change the symmetry.

d)

Both statements a and c are true.

97.

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

a)

f(x) has been translated down 4.

b)

f(x) has been translated up 4.

c)

f(x) has been translated 4 units the left

d)

f(x) has been translated 4 units to the right

98.

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

a)

f(x) has been translated to the right 4.

b)

f(x) has been translated to the left 4.

99.

What are the transformations?
y=(x-2)³+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

100.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

101.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

102.

What is the value of f(4)?

a)

3

b)

1

c)

-1

d)

-3

103.

Using the pictured graph, what is f(-3)?

a)

A

-3

b)

B

-1

c)

C

1

d)

D

3

104.

How many hearts does an octopus have?

a)

1

b)

4

c)

3

d)

20

105.

How long do elephants sleep each day?

a)

12 hours

b)

7-8 hours

c)

Almost 20 hours

d)

2-3 hours

106.

How many oceans are there?

a)

4

b)

5

c)

6

d)

7

107.

Which planet is closest to the sun?

a)

Venus

b)

Earth

c)

Saturn

d)

Mercury

108.

A farmer had 15 sheep, and all but 8 died. How many are left?

a)

5 sheep

b)

9 sheep

c)

6 sheep

d)

8 sheep

109.

^{_{What is the name of the Reggae singing Caribbean crab in the Little Mermaid?}}

a)

Sonny

b)

Sebastian

c)

Scotty P

d)

Scooby

110.

“We must be swift as the _______ ________. With all the force of a great Typhoon."

a)

Forcing River

b)

Coursing River

c)

Pouring River

d)

Coring River

111.

Choose the best answer to describe boundedness of the graph.

a)

above

b)

below

c)

bounded

d)

not bounded

112.

Choose the best answer to describe boundedness of the graph.

a)

above

b)

below

c)

bounded

d)

not bounded

113.

Choose the best answer to describe boundedness of the graph.

a)

above

b)

below

c)

bounded

d)

not bounded

114.

Choose the best answer to describe boundedness of the graph.

a)

above

b)

below

c)

bounded

d)

not bounded

115.

Determine the boundedness of the function graphed.

a)

Bounded Above

b)

Bounded Below

c)

Bounded

d)

Unbounded

Unit 1 Test Review Precalc

Total questions: 115

Worksheet time: 5hrs 54mins

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