Free Printable PRE-FINALS EXAM - DISCRETE MATHEMATICS

1.

List the ordered pairs

a)

(1,3), (2,6), (3,9), (4,12)

b)

(3,1), (6,2), (9,3), (12,4)

c)

Input and Output

d)

Output and Input

2.

List the ordered pairs

a)

Input and Output

b)

(0,12), (2,10), (4,8), (6,6)

c)

(12,0), (10,2), (8,4), (6,6)

d)

(6,6)

3.

List the ordered pairs

a)

Input and Output

b)

(-1, 1), (-2, 1), (-3,2), (-4,2)

c)

(1,1) (2,4)

d)

(1,-1), (1,-2), (2,-3), (2,-4)

4.

Determine if the relations is a function and describe the pattern

a)

Yes it is a function, input goes up 1 and output goes up by 15

b)

Yes it is a function, input goes up 15 and output goes up by 1

c)

Not a function, input goes up 1 and output goes up by 15

d)

Not a function, input goes up by 15 and output goes up by 1

5.

A relation pairs each input with exactly one output is a

a)

congruence

b)

similarity

c)

function

d)

mathematical equation

6.

Determine if the relations is a function and describe the pattern

a)

Yes it is a function, input goes up 1 and output goes up by 15

b)

Yes it is a function, input goes up 15 and output goes up by 1

c)

Not a function, input goes up 1 and output goes up by 15

d)

Not a function, input goes up by 15 and output goes up by 1

7.

Determine if the relation is a function

a)

Not a function, each input has more than one output

b)

Yes it is a function, because each input has exactly on output

c)

Not a function, input is equal to output

d)

Yes it is a function, -1/2 is a fraction of 2

8.

Determine if the relation is a function

a)

Yes, each input has one output

b)

Yes, each output has one input

c)

No, because the pattern is 4

d)

No, each input is the same as the output

9.

Describe the pattern input and output

a)

The input and output both go down by 3

b)

The x goes up 1 and the y goes right 1

c)

The x goes right 2 and the y goes up 2

d)

There is no pattern

10.

Describe the pattern of inputs and outputs

a)

The x and y move by 1

b)

The x moves right by 2 and the y stays the same

c)

The x does not move and the y does not move

d)

The x moves down by 1 and y moves up

11.

A set of ordered pairs is called what?

a)

Coordinates

b)

Relation

c)

Function

d)

Vertical Line Test

12.

A relation where every input yields one and only one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

13.

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)}

14.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

15.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

16.

Is this a function?

a)

Yes

b)

No

17.

Which of the following is not a function?

a)

{(0,1), (1,2), (2,3), (3,4)}

b)

{(0,2), (1,3), (4,3), (1,2)}

c)

{(1,3), (4,2), (2,0), (3,4)}

d)

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

18.

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.

19.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

20.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

21.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

22.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

23.

Is relation shown a function?

a)

YES

b)

NO

24.

Is the relation a function?

a)

YES

b)

NO

25.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

26.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

27.

Does this relation represent a function?

a)

No

b)

Yes

28.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

29.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

30.

$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$

a)

32

b)

0

c)

-4

d)

77

31.

Identify the domain and range. Does the relation represent y as a function of x?

a)

D: {4}

R: {1, 3, 7, 10}

No, it is not a function.

b)

D: {1, 3, 7, 10}

R: {4}

Yes, it is a function

c)

D: {4}

R: {1, 3, 7, 10}

Yes, it is a function.

32.

A relation is a set of coordinates written as (x,y).

a)

TRUE

b)

FALSE

33.

There are four ways to write a realtion: listing of ordered pairs, mapping, table of values and graphing.

a)

TRUE

b)

FALSE

34.

Which of the following relations is a one-to-one function?

a)

{(0,2), (0,4), (0,5), (0,6)}

b)

{(1,3), (4,3), (8,3), (3,1)}

c)

{(5,-1), (6,3), (1,2), (7,-8)}

d)

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

35.

It a test to check if a function is one-to-one.

a)

Horizontal Line test

b)

Vertical Line test

c)

None of these

36.

It a test to check if a function is one-to-one.

a)

Horizontal Line test

b)

Vertical Line test

c)

None of these

37.

Which of the following relations is a one-to-one function?

a)

b)

c)

d)

38.

Which of the following relations is a one-to-one function?

a)

(a)

b)

(b)

c)

(c)

d)

None of these

39.

Let 𝑓(𝑥)=𝑥−7. Find the value of 𝑓(2).

a)

5

b)

-7

c)

7

d)

-5

40.

Let $f\left(x\right)\ =\ 3x-5$ . Find f(-3)

(a)

41.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

42.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

43.

What is the test to determine if a graph represents a function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

44.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

45.

Determine the inverse for the function:

P (x) = 2x² + 1

a)

P^-1(x) = $\frac{x^2-1}{2}$

b)

P^-1(x) = $\frac{x^2+1}{2}$

c)

P^-1(x) = $\sqrt[]{\frac{x-1}{2}}$

d)

P^-1(x) = $\sqrt[]{\frac{x+1}{2}}$

46.

Determine the inverse for the function:

R (x) = 2x + 1

a)

R^-1(x) = $\frac{x-1}{2}$

b)

R^-1(x) = $\frac{x+1}{2}$

c)

R^-1(x) = $x-3$

d)

R^-1(x) = $x\ +3$

47.

Determine the inverse for the function:

Q(x) = $\frac{2x\ -7}{4}$

a)

Q^-1(x) = $\frac{2x-4}{7}$

b)

Q^-1(x) = $\frac{4x+7}{2}$

c)

Q^-1(x) = $\frac{7x\ -2}{4}$

d)

Q^-1(x) = $\frac{2x\ +4}{7}$

48.

Determine the inverse for the function:

S (x) = $\frac{2x^2\ -7}{4}$

a)

S^-1(x) = $\frac{2x-4}{7}$

b)

S^-1(x) = $\frac{4x+7}{2}$

c)

S^-1(x) = $\sqrt[]{\frac{4x+7}{2}}$

d)

S^-1(x) =

$\sqrt[]{\frac{2x+7}{4}}$

49.

What is the inverse of the points (1,3)(2,4)(6,2)

a)

(2,6)(3,1)(4,2)

b)

(-3,-1)(-4,-2)(-2,-6)

c)

(1,3)(2,4)(6,2)

d)

(-1,-3)(-2,-4)(-6,-2)

50.

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

51.

Find the inverse
f(x)= x⁴- 2

a)

∜(x+2)

b)

(x+2)⁴

c)

-1+2x⁴

d)

∜2x

PRE-FINALS EXAM - DISCRETE MATHEMATICS

Total questions: 51

Worksheet time: 2hrs 46mins

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