Free Printable Alternative Assignment for Pre-Calculus

1.

Select all the functions that have a vertex

a)

Quadratic

b)

Cubic

c)

Absolute Value

d)

Square Root

e)

Linear

2.

Select all the functions that have an inflection point

a)

Quadratic

b)

Cubic

c)

Absolute Value

d)

Square Root

e)

Linear

3.

Select all the functions that are curvy

a)

Quadratic

b)

Cubic

c)

Absolute Value

d)

Square Root

e)

Linear

4.

Which equation is a general equation?

a)

$f\left(x\right)=\left|x\right|$

b)

$f\left(x\right)=a\sqrt{x-h}\ +k$

c)

$f\left(x\right)\ =\ -4\left(x-1\right)^{3\ }+5$

5.

Select all the transformations that the

h-value will do to a function

a)

Shift Left or Right

b)

Reflect

c)

Shift Up or Down

d)

Stretch or Compress Factor

6.

Select all the transformations that the

k-value will do to a function

a)

Shift Left or Right

b)

Reflect

c)

Shift Up or Down

d)

Stretch or Compress Factor

7.

Which equation is a parent equation?

a)

$f\left(x\right)=\left|x\right|$

b)

$f\left(x\right)=a\sqrt{x-h}\ +k$

c)

$f\left(x\right)\ =\ -4\left(x-1\right)^{3\ }+5$

8.

Select all the transformations that the

a-value will do to a function

a)

Shift Left or Right

b)

Reflect

c)

Shift Up or Down

d)

Stretch or Compress Factor

9.

What's the Locator Point of the function

f\left(x\right)=-2\left(x+5\right)^3-6

*Write your answer as a coordinate with NO spaces.

(a)

10.

What's the Locator Point of the function

f\left(x\right)=7\left|x-2\right|+4

*Write your answer as a coordinate with NO spaces.

(a)

11.

What's the Locator Point of the function

f\left(x\right)=-3\sqrt{x}+5

*Write your answer as a coordinate with NO spaces.

(a)

12.

What's the Locator Point of the function

f\left(x\right)=4\left(x+8\right)^{2\ }

*Write your answer as a coordinate with NO spaces.

(a)

13.

What type of function is this:

f\left(x\right)=10

a)

Quadratic

b)

Cubic

c)

Linear

d)

Constant

e)

Absolute Value

14.

Which equation would match the graph?

a)

$f\left(x\right)=2\left(x-4\right)^{3\ }-5$

b)

$f\left(x\right)=-2\left(x-4\right)^{3\ }-5$

c)

$f\left(x\right)=2\left(x+4\right)^{3\ }-5$

d)

$f\left(x\right)=-2\left(x+4\right)^{3\ }-5$

e)

$f\left(x\right)=2\left(x-4\right)^{3\ }+5$

15.

Which equation would match the graph?

a)

$f\left(x\right)=2\left(x+2\right)^2-3$

b)

$f\left(x\right)=1.5\sqrt{x+2}+3$

c)

$f\left(x\right)=-\frac{1}{2}\sqrt{x+2}+3$

d)

$f\left(x\right)=-\left(x-2\right)^2-3$

e)

$f\left(x\right)=-2\sqrt{x-2}+3$

16.

Which equation would match the graph?

a)

$f\left(x\right)=-3\left|x\right|+2$

b)

$f\left(x\right)=1.5\left|x+2\right|$

c)

$f\left(x\right)=-0.5\left|x\right|-2$

d)

$f\left(x\right)=-2\left|x-2\right|$

e)

$f\left(x\right)=-x^2+2$

17.

Which equation would match the graph?

a)

$f\left(x\right)=\frac{1}{4}\left(x-3\right)^2$

b)

$f\left(x\right)=4\left(x+3\right)^2$

c)

$f\left(x\right)=4x^{2\ }+3$

d)

$f\left(x\right)=-0.5x^{2\ }-3$

e)

$f\left(x\right)=2\left|x\right|+3$

18.

This function will...

a)

Stretch

b)

Compress

c)

Do Neither

19.

This function will...

a)

Stretch

b)

Compress

c)

Do Neither

20.

This function will...

a)

Stretch

b)

Compress

c)

Do Neither

21.

This function will...

a)

Stretch

b)

Compress

c)

Do Neither

22.

Select all the graphs that are reflected

a)

b)

c)

d)

e)

23.

What is the Domain?

a)

$-5<x\le4$

b)

$-5\le x<4$

c)

$-5\le x\le4$

d)

$-2<x\le3$

e)

$-2\le x\le3$

24.

What is the Domain?

a)

$-3\le x<2$

b)

$-2\le x<2$

c)

$0\le x\le2$

d)

$-5\le x\le4$

e)

$-3\le x\le0$

25.

What is the Domain?

a)

$-\infty<x<\infty$

b)

$-\infty\le x\le\infty$

c)

$-7\le x\le3$

d)

$-6\le x\le\infty$

e)

$-6\le x\le7$

26.

What is the Domain?

a)

$-2\le x<\infty$

b)

$-2\le x\le2$

c)

$-1\le x\le\infty$

d)

$-1\le x\le2$

e)

$0\le x<\infty$

27.

What is the Range?

a)

$-1\le y<\infty$

b)

$-1\le y\le2$

c)

$-1\le y\le1$

d)

$0\le y\le2$

e)

$0\le y<\infty$

28.

What is the Range?

a)

$-5\le y\le4$

b)

$-5\le y<4$

c)

$0\le y\le-5$

d)

$-\infty<y\le4$

e)

$-2\le y\le2$

29.

What is the Range?

a)

$-5\le y\le4$

b)

$-5\le y<4$

c)

$4<y\le-5$

d)

$-4\le y\le4$

e)

$-4\le y<4$

30.

What is the Range?

a)

$-5\le y\le2$

b)

$-5<y<2$

c)

$2<y<-5$

d)

$2\le y\le-5$

e)

$-3\le y\le2$

31.

What is the a-value of the quadratic piece?

*Write your answer as a number ONLY!

(a)

32.

What is the a-value of the Square Root piece?

*Write your answer as a number ONLY!

(a)

33.

What is the fewest amount of pieces you can count in this graph?

a)

1

b)

2

c)

3

d)

4

e)

5

34.

What is the a-value of the cubic piece?

*Write your answer as a number ONLY!

(a)

35.

What is the a-value of the absolute value piece?

*Write your answer as a number ONLY!

(a)

36.

What is the y-int of the linear piece?

*Write your answer as a number ONLY!

(a)

37.

What kind of slope can you anticipate the linear to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

38.

What kind of y-int can you anticipate the linear to have without doing any math?

a)

Positive

b)

Negative

c)

You've got to solve it to figure it out

39.

What is the a-value of the Quadratic piece?

*Write your answer as a number ONLY!

(a)

40.

What is the b-value of the 1st piece?

*Write your answer as a number ONLY!

(a)

41.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Quadratic

c)

Square Root

d)

Linear

e)

Constant

42.

What is the a-value of the quadratic piece?

*Write your answer as a number ONLY!

(a)

43.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Absolute Value

c)

Square Root

d)

Quadratic

e)

Constant

44.

Select all the function pieces represented in this graph:

a)

Cubic

b)

Absolute Value

c)

Linear

d)

Quadratic

e)

Constant

45.

Which function has the domain

-8<x\le0

a)

Linear

b)

Square Root

c)

Cubic

d)

Quadratic

e)

Constant

46.

Which function has the domain

1\le x\le3

a)

Linear

b)

Square Root

c)

Cubic

d)

Absolute Value

e)

Quadratic

47.

Which function has the domain

-6\le x\le-3

a)

Linear

b)

Square Root

c)

Cubic

d)

Quadratic

e)

Constant

48.

Evaluate f (2)

a)

Undefined

b)

-3

c)

-4

d)

2

e)

-3 and -4

49.

Evaluate f (-6)

a)

Undefined

b)

-2

c)

4

d)

3

e)

-1

50.

Evaluate f(3)

*Write your answer as a number ONLY!

(a)

51.

Evaluate f(-8)

*Write your answer as a number ONLY!

(a)

52.

Evaluate f (-4)

*Write your answer as a number ONLY!

(a)

53.

Evaluate g (-9)

*Write your answer as a number ONLY!

(a)

54.

Evaluate f (0)

*Write your answer as a number ONLY!

(a)

55.

What is the a-value?

a = (a)

*Write your answer as a NUMBER ONLY!

Decimals are safest.

Make sure fractions are reduced

56.

What is the a-value?

a = (a)

*Write your answer as a NUMBER ONLY!

Decimals are safest.

Make sure fractions are reduced

57.

What is the a-value?

a = (a)

*Write your answer as a NUMBER ONLY!

Decimals are safest.

Make sure fractions are reduced

58.

What is the a-value?

a = (a)

*Write your answer as a NUMBER ONLY!

Decimals are safest.

Make sure fractions are reduced

59.

What is the a-value?

a = (a)

*Write your answer as a NUMBER ONLY!

Decimals are safest.

Make sure fractions are reduced

60.

Which function is written in

Factored Form?

a)

f (x)

b)

g (x)

c)

h (x)

d)

None of them

e)

All of them

61.

Which function is written in

Standard Form?

a)

f (x)

b)

g (x)

c)

h (x)

d)

None of them

e)

All of them

62.

Which function contains the multiplicities?

(You can literally see it right now without needing to do any math)

a)

f (x)

b)

g (x)

c)

None of them

d)

All of them

63.

Which function contains the Leading Coefficient?

(You can literally see it right now without needing to do any math)

a)

f (x)

b)

g (x)

c)

None of them

d)

All of them

64.

What information do you need to identify from an equation in order to predict where the End Behavior will be?

a)

Degree

b)

Leading Coefficient

c)

Multiplicity

d)

(h, k)

e)

Slope

65.

Which End Behavior occupies OPPOSING quadrants? Select all that apply

a)

b)

c)

d)

66.

Where will the End Behavior be?

a)

b)

c)

d)

67.

Where will the End Behavior be?

a)

b)

c)

d)

68.

Where will the End Behavior be?

a)

Quadrats I & II

b)

Quadrats I & III

c)

Quadrats II & IV

d)

Quadrats III & IV

e)

Quadrats II & III

69.

Where will the End Behavior be?

a)

Quadrats I & II

b)

Quadrats I & III

c)

Quadrats II & IV

d)

Quadrats III & IV

e)

Quadrats II & III

70.

Where will the End Behavior be?

a)

Quadrats I & II

b)

Quadrats I & III

c)

Quadrats II & IV

d)

Quadrats III & IV

e)

Quadrats I & IV

71.

What does the arrow mean in this picture?

a)

Approaches

b)

Equals

c)

Reverses

d)

Shoots

e)

End Behavior

72.

What is a Leading Coefficient?

a)

The HIGHEST exponent in Standard Form

b)

The HIGHEST exponent in Factored Form

c)

The HIGHEST number in front of a variable

d)

The number in front of the variable that has the DEGREE

e)

All of the numbers in front of the variables

73.

What is a Multiplicity?

a)

The HIGHEST exponent in Standard Form

b)

The HIGHEST exponent in Factored Form

c)

ANY exponent in Standard Form

d)

ANY exponent in Factored Form

e)

The number in front of the parenthesis

74.

What is a Degree?

a)

The HIGHEST exponent in Standard Form

b)

The HIGHEST exponent in Factored Form

c)

ANY exponent in Standard Form

d)

ANY exponent in Factored Form

e)

The HIGHEST number in front of a variable

75.

Which graph represents this picture's End Behavior?

a)

b)

c)

d)

76.

Which represents this picture'e End Behavior?

a)

Quadrats I & II

b)

Quadrats I & III

c)

Quadrats II & IV

d)

Quadrats III & IV

e)

Quadrats I & IV

77.

What do you call the 2 in this equation?

a)

Exponent

b)

Degree

c)

Multiplicity

d)

Leading Coefficient

e)

End Behavior

78.

What do you call the -6 in this equation?

a)

Coefficient

b)

Degree

c)

Multiplicity

d)

Leading Coefficient

e)

End Behavior

79.

What do you call the 5 in this equation?

a)

Exponent

b)

Degree

c)

Multiplicity

d)

Leading Coefficient

e)

End Behavior

80.

If I am looking at a polynomial's STANDARD FORM

equation, what information can I see?

Select all that apply.

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

81.

If I am looking at the constant in a polynomial's standard form equation, which feature am I looking at?

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

82.

What do you use to determine a polynomial's End Behavior?

Select all that apply.

a)

Multiplicities

b)

Degree

c)

Leading Coefficient

d)

Constant

e)

The number in the parenthesis next to x

83.

What do you use to determine if a polynomial will cross or bounce

at x-intercepts?

a)

Multiplicities

b)

Degree

c)

Leading Coefficient

d)

Constant

e)

The number in the parenthesis next to x

84.

If I am looking at a polynomial's FACTORED FORM

equation, what information can I get?

Select all that apply.

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

85.

If I plug y = 0 into polynomial's factored form equation and solve, which feature am I finding?

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

86.

If I plug y = 0 into polynomial's factored form equation, how do I solve it?

a)

Zero Product Property

b)

Zero Parenthesis Property

c)

Quadratic Formula

d)

Completing the Square

e)

Zero Plus Property

87.

If I am looking at the multiplicities of a polynomial, what do I know about it's graph?

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

88.

What information do you know?

a)

a = 0

b)

b = 0

c)

c = 0

d)

a, b, or c must equal 0

e)

Nothing. Not enough info.

89.

Which multiplicities will make a polynomial's graph BOUNCE?

Select all that apply:

a)

$\left(x-2\right)^{19}$

b)

$\left(x+3\right)^{22}$

c)

$\left(x+6\right)^{23}$

d)

$\left(x-5\right)^{38}$

e)

$\left(x-7\right)^{45}$

90.

Which multiplicities will make a polynomial's graph CROSS?

Select all that apply:

a)

$\left(x-2\right)^{15}$

b)

$\left(x+3\right)^{20}$

c)

$\left(x+6\right)^{27}$

d)

$\left(x-5\right)^{34}$

e)

$\left(x-7\right)^{41}$

91.

Which multiplicities will make a polynomial's graph CROSS straight through, like a linear?

Select all that apply:

a)

$\left(x-2\right)^1$

b)

$\left(x+3\right)^6$

c)

$\left(x+6\right)^3$

d)

$\left(x-5\right)^{ }$

e)

$\left(x-1\right)^5$

92.

How many x-intercepts will this polynomial have?

a)

3

b)

0

c)

2

d)

6

e)

9

93.

How many x-intercepts will this polynomial have?

a)

3

b)

4

c)

2

d)

6

e)

1

94.

What is the y-int of this polynomial?

a)

( 0 , 0 )

b)

( 0 , 5,000 )

c)

( 5,000 , 0 )

d)

( 0 , 6 )

e)

( 0 , 2 )

95.

Select all the x-intercepts

of this polynomial :

a)

( 7 , 0 )

b)

( -2.5 , 0 )

c)

( -3 , 0 )

d)

( 3 , 0 )

e)

( -5 , 0 )

96.

Select all the x-intercepts

of this polynomial :

a)

( 1 , 0 )

b)

( 0.25 , 0 )

c)

( -3 , 0 )

d)

( 3 , 0 )

e)

( -5 , 0 )

97.

Which sketch most resembles

this polynomial?

(Yes I know it's not labeled. Use process of elimination)

a)

b)

c)

d)

e)

98.

Which sketch most resembles

this polynomial?

(Yes I know it's not labeled. Use process of elimination)

a)

b)

c)

d)

e)

99.

What information do you know just by looking at this sketch?

Select all the apply:

a)

The x-ints a & d must have a multiplicity of 1

b)

The degree is odd

c)

x-int c must have an odd multiplicity greater that 1

d)

The degree is even

e)

The x-int b must have an even multiplicity

100.

What information do you know about this polynomial

just by looking at this sketch?

Select all the apply:

a)

The constant in standard form is negative

b)

The leading coefficient is negative

c)

x-int b must have an odd multiplicity

d)

The constant in standard form is positive

e)

The leading coefficient is positive

Alternative Assignment for Pre-Calculus

Total questions: 100

Worksheet time: 50mins

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