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QZ 2(1-3) Review

Total questions: 71

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

What is the domain of this relation? Use correct notation. Don't type spaces.

Type your answer like this:

D={10,7,-3}

(a)  

2.

What is the domain of this relation? Use correct notation. Don't type spaces.

Type your answer like this:

D={-5,7,9}

(a)  

3.

What is the domain of this relation? Use correct notation. Don't type spaces.

Type your answer like this:

D={-3,2,10}

(a)  

4.

What is the domain of this relation? Use correct notation. Don't type spaces.

Type your answer like this:

D={5,-2,1}

(a)  

5.

Is this relation a function?

a)

Yes.

b)

No.

6.

Is this relation a function?

a)

Yes.

b)

No.

7.

Is this relation a function?

a)

Yes.

b)

No.

8.

Is this relation a function?

a)

Yes.

b)

No.

9.

Is this relation a function?

a)

Yes.

b)

No.

10.

Is this relation a function?

a)

Yes.

b)

No.

11.

Is this relation a function?

a)

Yes.

b)

No.

12.

Is this relation a function?

a)

Yes.

b)

No.

13.

Is this relation a function?

a)

Yes.

b)

No.

14.

Is this relation a function?

a)

Yes.

b)

No.

15.

Is this relation a function?

a)

Yes.

b)

No.

16.

f(x)=5x+2f\left(x\right)=\frac{5}{x+2}  

Find f(3)f\left(3\right)  

Type your answer like this: f(?)=?.

You fill in the question marks. No spaces.

For example f(8)=2

(a)  

17.

f(x)=5x+2f\left(x\right)=\frac{5}{x+2}  

Find f(4)f\left(-4\right)  

Type your answer like this: f(?)=?.

You fill in the question marks. No spaces.

For example f(8)=2

(a)  

18.

f(x)=5x+2f\left(x\right)=\frac{5}{x+2}  

Find f(m2)f\left(m-2\right)  

Type your answer like this: f(?)=?.

You fill in the question marks. No spaces.

For example f(8)=2

(a)  

19.

g(x)=2x+3g\left(x\right)=-2x+3  

Find g(12)g\left(\frac{1}{2}\right)  

Type your answer like this: g(?)=?.

You fill in the question marks. No spaces.

For example g(8)=-13

(a)  

20.

g(x)=2x+3g\left(x\right)=-2x+3  

Find g(6)g\left(-6\right)  

Type your answer like this: g(?)=?.

You fill in the question marks. No spaces.

For example g(8)=-13

(a)  

21.

g(x)=2x1g\left(x\right)=2x-1  

Find g(0)g\left(0\right)  

Type your answer like this: g(?)=?.

You fill in the question marks. No spaces.

For example g(8)=15

(a)  

22.

g(x)=2x1g\left(x\right)=2x-1  

Find g(4)g\left(4\right)  

Type your answer like this: g(?)=?.

You fill in the question marks. No spaces.

For example g(8)=15

(a)  

23.

g(x)=2x1g\left(x\right)=2x-1  

Find g(6)g\left(-6\right)  

Type your answer like this: g(?)=?.

You fill in the question marks. No spaces.

For example g(8)=15

(a)  

24.

Is this function linear?

f(x)=23f\left(x\right)=23  

a)

yes

b)

no

25.

Is this function linear?

f(x)=23xf\left(x\right)=\frac{2}{3}x  

a)

yes

b)

no

26.

Is this function linear?

f(x)=5xf\left(x\right)=\frac{5}{x}  

a)

yes

b)

no

27.

Is this function linear?

95xy=29-5xy=2  

a)

yes

b)

no

28.

Is this function linear?

y=12x+3y=-\frac{1}{2}x+3  

a)

yes

b)

no

29.

Is this function linear?

y=5xy=-5x  

a)

yes

b)

no

30.

Is this function linear?

xy=1xy=-1  

a)

yes

b)

no

31.

Is this function linear?

y=34xy=\frac{3}{4x}  

a)

yes

b)

no

32.

Is this function linear?

y=3xy=3x  

a)

yes

b)

no

33.

Is this function linear?

y=2+5xy=-2+5x  

a)

yes

b)

no

34.

Is this function linear?

2x+y=102x+y=10  

a)

yes

b)

no

35.

Is this function linear?

y=4x2y=4x^2  

a)

yes

b)

no

36.

Is this function linear?

y=4x3y=4x^3  

a)

yes

b)

no

37.

Is this function linear?

y=2xy=2\sqrt[]{x}  

a)

yes

b)

no

38.

Is this function linear?

y=x+7y=\left|x+7\right|  

a)

yes

b)

no

39.

Write an equation for the line of symmetry. Do not use any spaces.

(a)  

40.

Write an equation for the line of symmetry. Do not use any spaces.

(a)  

41.

Write an equation for the line of symmetry. Do not use any spaces.

(a)  

42.

Write an equation for the line of symmetry. Do not use any spaces.

(a)  

43.

What is the location of the relative maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

44.

How many extrema are there in this graph?

a)

2 max, 2 min

b)

3 max, 2 min

c)

2 man, 3 min

d)

3 increasing intervals, 2 decreasing intervals

e)

2 increasing intervals, 3 decreasing intervals

45.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

46.
Minimum or maximum?
a)
Minimum
b)
Maximum
47.
Minimum or maximum?
a)
Minimum
b)
Maximum
48.

Describe the left hand end behavior.

a)

x, f(x)x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty  

b)

x, f(x)x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty  

c)

x, f(x)x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty  

d)

xn, f(x) xn\rightarrow-\infty,\ f\left(x\right)\ \rightarrow\infty  

49.

Give the number of zeros and the number of relative extrema.

a)

There are four zeros and one relative extreme.

b)

There are three zeros and three extreme values.

c)

There is one zero and three relative extreme values.

d)

There are four zeros and three extreme values.

50.

The relative maximums occur at what points? 

a)

There are no relative maximums.

b)

(0, 4) and (5, 0).\left(0,\ 4\right)\ and\ \left(5,\ 0\right).  

c)

(=6, 0) and (2, 0).\left(=6,\ 0\right)\ and\ \left(2,\ 0\right).  

d)

There is not enough information to answer the question.

51.

What is the relative maximum of the function?

a)

(1.5, 7.1).\left(-1.5,\ -7.1\right).  

b)

No relative maximum exists.

c)

(2, 0).\left(-2,\ 0\right).  

d)

(1, 0).\left(1,\ 0\right).  

52.

Is there line symmetry or point symmetry. Why?

a)

Line symmetry, left side matches right side.

b)

Line symmetry, top half matches the bottom half.

c)

Point symmetry, the graph rotates 180° at (0, 0).180\degree\ at\ \left(0,\ 0\right).  

d)

Point symmetry, the graph rotates 180° at (2, 2).180\degree\ at\ \left(2,\ -2\right).  

53.

What is the location of the relative maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

54.

How many extrema are there in this graph?

a)

2 max, 2 min

b)

3 max, 2 min

c)

2 man, 3 min

d)

3 increasing intervals, 2 decreasing intervals

e)

2 increasing intervals, 3 decreasing intervals

55.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

56.
Minimum or maximum?
a)
Minimum
b)
Maximum
57.
Minimum or maximum?
a)
Minimum
b)
Maximum
58.

Determine if the function has line symmetry or point symmetry. Name the line or point of symmetry.

a)

Line symmetry, x=0.x=0.  

b)

Point symmetry, (0, 0)\left(0,\ 0\right)  .

c)

Line symmetry, y=0y=0  .

d)

Point symmetry, x=0.x=0.  

59.

Does the function have line symmetry or point symmetry? Name the line or point of symmetry.

a)

Point symmetry, (2, 2).\left(2,\ 2\right).  

b)

Line symmetry, y=2.y=2.  

c)

Point symmetry, (0, 0).\left(0,\ 0\right).  

d)

Line symmetry, x=2.x=2.  

60.

Identify the zero that is not also a relative extrema.

a)

(6, 0)\left(-6,\ 0\right)  

b)

(2, 0)\left(2,\ 0\right)  

c)

(0, 4)\left(0,\ 4\right)  

d)

(5, 0)\left(5,\ 0\right)  

61.

What is left hand end behavior?

a)

x, f(x)+x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty  

b)

x, f(x)x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty  

c)

x+, f(x)+x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty  

d)

x+, f(x) x\rightarrow+\infty,\ f\left(x\right)\ \rightarrow-\infty  

62.

Are there more relative maximums than relative minimums?

a)

No, they occur the same number of times.

b)

Yes.

c)

No, minimums occur more times.

d)

No, there are no extreme values because the end behaviors are each approaching -\infty  .

63.

What is the relative minimum point?

a)

(0, 7)\left(0,\ -7\right)  

b)

(2.5, 2.5)\left(2.5,\ 2.5\right)  

c)

There are no relative extrema.

d)

(1, 0)\left(-1,\ 0\right)  

64.

Which function has the end behavior x, f(x), x+, f(x)+x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty,\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty  ?

a)

f(x)=x23x+1f\left(x\right)=-x^2-3x+1  

b)

f(x)=x+3f\left(x\right)=-x+3

c)

f(x)=4x+1f\left(x\right)=-4x+1  

d)

f(x)=2x1f\left(x\right)=2x-1  

65.

Which function has the end behavior x, f(x) and x+, f(x)x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty\ and\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty  ?

a)

g(x)=x23x+3g\left(x\right)=-x^2-3x^{ }+3   

b)

g(x)=3x24x+7g\left(x\right)=3x^2-4x+7  

c)

g(x)=2x+4g\left(x\right)=2x^{ }+4   

d)

  g(x)=4x24x9g\left(x\right)=4x^2-4x^{ }-9  

66.
What does x tell us 
a)
Left and right
b)
Up and down
67.
What does y tell us 
a)
Left and right
b)
Up and down
68.
Which one means left
a)
x →-∞
b)

x →+ \infty  

69.
Which one means up
a)
y →-∞
b)

y →+ \infty  

70.

True or false: The end behaviors match for this function.

a)

True

b)

False

71.

Describe the right hand end behavior in this function.

a)

x+, f(x)x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty  

b)

x+, f(x)+x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty