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Chapter 2 Review

Total questions: 83

Worksheet time: 42mins

Name
Class
Date
1.

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

(a)  

2.

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

(a)  

3.

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

(a)  

4.

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

(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.

(a)  

40.

Write an equation for the line of symmetry.

(a)  

41.

Write an equation for the line of symmetry.

(a)  

42.

Write an equation for the line of symmetry.

(a)  

43.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

44.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

45.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

46.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

47.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

48.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

49.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

50.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

51.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

52.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

53.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

54.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

55.

Describe the end behavior of the function.

a)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→+∞

b)

As x→+∞, f(x)→+∞

As x→-∞, f(x)→-∞

c)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→+∞

d)

As x→+∞, f(x)→-∞

As x→-∞, f(x)→-∞

56.

Which are zeros of the function?

a)

(-4.25, 0)

b)

(3.25,0)

c)

(3,0)

d)

(-3,0)

57.

Which are zeros of the function?

a)

(4, 0)

b)

(1.8,0)

c)

(0,0)

d)

(-2,0)

e)

(-4,0)

58.

Which are zeros of the function?

a)

(-1, 0)

b)

(1.25,0)

c)

(2.5,0)

d)

(-2,0)

e)

(-4,0)

59.

Which are zeros of the function?

a)

(-2, 0)

b)

(.2,0)

c)

(3.2,0)

d)

(0,3)

e)

(2,0)

60.

Which graph fits these key features?

The y-intercept is 2. The function is positive for x < 7. The function is decreasing for all values of x. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
e)
61.

Which graph fits these key features?

The y-intercept is 2. The function is positive for x > −6. The function is increasing for all values of x. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → −∞.

a)
b)
c)
d)
e)
62.

Which graph fits these key features?

The y-intercept is 1.5. The function is positive for x > −3. The function is increasing for all values of x. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → −∞.

a)
b)
c)
d)
e)
63.

Which graph fits these key features?

The function is continuous and symmetric about the line x = −1. The function is positive for x < −5 and x > 3. The function has a minimum at (−1, −4). As x → +∞, f(x) → +∞ and as x → −∞, f(x) → ∞.

a)
b)
c)
d)
e)
64.

Which graph fits these key features?

The function is continuous and symmetric about the line x = 2. The function has a maximum at (2, 3). As x → +∞, f(x) → −∞ and as x → −∞, f(x) → −∞.

a)
b)
c)
d)
e)
65.

Which graph fits these key features?

The y-intercept is 0. The function is continuous. The function is positive for x < −3 and 0 < x < 2. The function has a minimum at (−2, −4) and a maximum at (1, 2). The function is increasing for −2 < x < 1. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
e)
66.

Which graph fits these key features?

The x-intercept is −2. The y-intercept is 4. The function is increasing for all values of x. The function is positive for x > −2. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → −∞

a)
b)
c)
d)
67.

Which graph fits these key features?

The x-intercept is 7. The y-intercept is 2. The function is decreasing for all values of x. The function is positive for x < 7. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
68.

Which graph fits these key features?

The function is continuous and symmetric about the line x = 1. The function is positive for 0 < x < 2. The function has a maximum at (1, 1). As x → +∞, f(x) → −∞ and as x → −∞, f(x) → −∞.

a)
b)
c)
d)
69.

Which graph fits these key features?

The function is continuous and symmetric about the line x = 2. The function has a minimum at (2, −3). As x → +∞, f(x) → +∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
70.

Which graph fits these key features?

The x-intercept is 2. The y-intercept is −6. The function is increasing for all values of x. The function is positive for x > 2. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → −∞.

a)
b)
c)
d)
e)
71.

Which graph fits these key features?

The x-intercept is 0. The y-intercept is 0. The function is decreasing for all values of x. The function is positive for x < 0. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
e)
72.

Which graph fits these key features?

The x-intercept is 5. The y-intercept is 5. The function is decreasing for all values of x. The function is positive for x < 5. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
e)
73.

Which graph fits these key features?

The x-intercept is 5. The y-intercept is 2. The function is decreasing for all values of x. The function is positive for x < 5. As x → +∞, f(x) → −∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
e)
74.

Which graph fits these key features?

The function is continuous and symmetric about the line x = 0. The function has a maximum at (0, 1). As x → +∞, f(x) → −∞ and as x → −∞, f(x) → −∞.

a)
b)
c)
d)
e)
75.

Which graph fits these key features?

The y-intercept is −4. The function is continuous. The function is positive for x < −3 and x > 2. The function has a relative minimum at (−2, −3). The function is increasing for −2 < x < −1 and x > 0. As x → +∞, f(x) → +∞ and as x → −∞, f(x) → +∞.

a)
b)
c)
d)
e)
76.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)(x-4)^2+1

(a)  

77.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)(x-4)^2+1

(a)  

78.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)(x-4)^2+1

(a)  

79.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)(x-4)^2+1

(a)  

80.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)|x-4|+1

(a)  

81.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)|x-4|+1

(a)  

82.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)|x-4|+1

(a)  

83.

Write an equation for the following graph.

Your answer should be in vertex form. Your answer should contain no spaces. Please use fractions instead of decimals. Fractions should be in parenthesis.

Here is an example answer:

f(x)=-(5/2)|x-4|+1

(a)