Free Printable function and relation

1.

Determine whether the following is a function or relation.

C = {(1, 6), (2, 5), (1, 9), (4, 3)}

a)

FUNCTION

b)

RELATION

2.

Determine whether the following is a function or relation.

A = {(1, 2), (2, 3), (3, 4), (4, 5)}

a)

FUNCTION

b)

RELATION

3.

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

4.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

5.

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

6.

A relationship between quantities where there is one output for every input.

a)

relation

b)

function

c)

domain

d)

range

7.

Which of the following is not a function?

a)

5x+2

b)

y=1/2x+5

c)

f(x)=3x+1

d)

s=7t+9

8.

Which of the following is not a correct form of expressing a function?

a)

d(x)= y+5

b)

f(x)= 7x²+5x-1

c)

y= 3x+2

d)

g(x)= x+2

9.

Given the relation A = {(-5, 2), (6, 4), (3, 10), (x, 5)}. Which of the following values for x will make relation A a function?

a)

6

b)

3

c)

8

d)

-5

10.

Which of the relations below is a function?

a)

{(2, 3), (3, 4), (5, 1), (5, 4)}

b)

{(-2, 3), (3, 4), (6, 2), (9, 3)}

c)

{(-2, 3), ( -3, 4), (6, 2), (-3, 3)}

11.

A handsome mathematics teacher paired with his hardworking students

a)

FUNCTION

b)

RELATION

12.

a)

Function

b)

Not a Function

13.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

14.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

15.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

16.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

17.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

18.

Is this table a function or not a function?

a)

Function

b)

Not a Function

19.

a)

Function

b)

Not a Function

20.

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

21.

Is this a function?

a)

Function

b)

Not a Function

22.

Consider the graph given below. Determine whether it is function or relation.

a)

FUNCTION

b)

RELATION

23.

Determine whether the following is a function or relation.

C = {(1, 6), (2, 5), (1, 9), (4, 3)}

a)

FUNCTION

b)

RELATION

24.

Determine whether the following is a function or relation.

A = {(1, 2), (2, 3), (3, 4), (4, 5)}

a)

FUNCTION

b)

RELATION

25.

Find the inverse of f(x) = 3x +8

a)

$f^{-1}\left(x\right)=3x-\frac{8}{3}$

b)

$f^{-1}\left(x\right)=\frac{8}{3}x-\frac{1}{3}$

c)

$f^{-1}\left(x\right)=\frac{1}{3}x-\frac{8}{3}$

d)

$f^{-1}\left(x\right)=\frac{1}{3}x+\frac{8}{3}$

26.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

27.

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

28.

Are these inverse functions

a)

no

b)

yes

c)

no way to tell

29.

Find the inverse
f(x)=2x-2

a)

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

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

30.

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

31.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

32.

Are f(x) =x+6 and g(x) =x-6 inverses?

a)

Yes

b)

No

33.

Find the inverse: f(x) = 3x + 2

a)

f^-1(x) = 2x + 3

b)

f^-1(x) = -3x + 2

c)

f^-1(x) = (x-2)/3

d)

f^-1(x) = (x-3)/2

34.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

35.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

36.

State if the sequence -4, 8, -16, 32, -64, ... is arithmetic, geometric, or neither.

a)

Geometric

b)

Arithmetic

c)

Neither

37.

What is the twelfth term in the sequence 3, -6, 12, . . . ?

a)

-2,048

b)

6,144

c)

-6,144

d)

-531,441

38.

Create the explicit formula for the sequence:

5, 8, 11, ...

a)

a_n= 6+5n

b)

a_n= -6+3n

c)

a_n= 3n+2

d)

a_n= 4-5n

39.

Find the sum of the following: -12 + -9+ -6 +....+333

a)

18,618

b)

18,297

c)

20,010

d)

22,018

40.

Find the sum of the odd integers between 12 and 84.

a)

3,456

b)

1,260

c)

2,592

d)

1,728

41.

What is the next term of the sequence 49, 42, 35, 28, ...? number only

(a)

42.

Give the next three terms of the sequence below:

6, 10, 14,...

a)

18, 20, 26

b)

-18, 22, -26

c)

18, 22, 26

d)

-18, -22, -26

43.

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

44.

a₁
S_n = ------------------
1 - r
What formula is this?

a)

Infinite Arithmetic Series Formula

b)

Finite Geometric Series Formula

c)

Finite Arithmetic Series Formula

d)

Infinite Geometric Series Formula

45.

A convergent sequence is.......

a)

A vertical asymptote

b)

A set of numbers that don't approach a specific value

c)

A set of numbers that stay constant

d)

A set of numbers that approach a specific value

46.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

47.

A total of 50,000 contestants participate in an Internet on-line survivor game. The game randomly eliminates 20% of the contestants each day. How many contestants are left in the game at the end of one week?

a)

8,388

b)

13,107

c)

10,485

d)

12,586

48.

a)

a

b)

b

c)

c

d)

d

e)

e

49.

a)

a

b)

b

c)

c

d)

d

e)

e

50.

a)

a

b)

b

c)

c

d)

d

e)

e

51.

a)

a

b)

b

c)

c

d)

d

e)

e

52.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

53.

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

54.

Find the geometric mean of 12 and 192

a)

4

b)

16

c)

48

d)

2304

55.

Evaluate: $\sum_{x=2}^{11}\left(5x-2\right)$

a)

305

b)

503

c)

53

d)

8

56.

a₁=5, a₂=11, a₁₅=?

a)

95

b)

89

c)

81

d)

159

57.

a)

a

b)

b

c)

c

d)

d

e)

e

58.

a)

a

b)

b

c)

c

d)

d

e)

e

59.

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = - 4n + 25

c)

a_n= - 4n + 29

d)

a_n = 4n + 25

60.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

61.

Find the geometric sum

a)

-1456

b)

-4095

c)

1456

d)

4095

62.

Find the 13th term:
2, 6, 18, 54, ….

a)

1,000,000

b)

1,062,882

c)

123,587

d)

5 bazillion

63.

Find the sum of the first 10 terms for the series: -1 + 2 + 5 + 8 + ...

a)

122

b)

125

c)

128

d)

131

64.

Which of the following expresses 1+3+5+...+39

a)

$\sum_{k=1}^{20}2k-1$

b)

$\sum_{k=2}^{40}k-1$

c)

$\sum_{k=-1}^{37}k+2$

d)

$\sum_{k=1}^{39}2k-1$

65.

Does this sequence converge or diverge? $\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...$

a)

Converges to 0

b)

Converges to 1

c)

Converges to 5

d)

Diverges

function and relation

Total questions: 65

Worksheet time: 2hrs 27mins

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