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Quiz 2-1 Review : Relations, Functions, & Function Notation

Total questions: 61

Worksheet time: 2hrs 10mins

Name
Class
Date
1.

the horizontal axis on a coordinate plane

a)

ordered pair

b)

x-axis

c)

y-axis

d)

discrete graph

e)

none of these

2.

the vertical axis on a coordinate plane

a)

ordered pair

b)

x-axis

c)

y-axis

d)

quadrants

e)

none of these

3.

the four regions into which the x and y-axis separate the coordinate plane

a)

ordered pair

b)

origin

c)

discrete graph

d)

quadrants

e)

none of these

4.

the point at which the x and y-axis intersect; (0,0)

a)

ordered pair

b)

origin

c)

continuous graph

d)

function

e)

none of these

5.

a set of numbers representing a location on a graph written in the form (x,y)

a)

ordered pair

b)

function

c)

continuous graph

d)

relation

e)

none of these

6.

the first value of an ordered pair that represents the horizontal placement of the point

a)

ordered pair

b)

x-coordinate

c)

y-coordinate

d)

relation

e)

none of these

7.

the second value of an ordered pair that represents the vertical placement of the point

a)

ordered pair

b)

x-coordinate

c)

y-coordinate

d)

relation

e)

none of these

8.

a graph that consists of point that are NOT connected

a)

discrete graph

b)

continuous graph

c)

function

d)

relation

e)

none of these

9.

a function graphed with a line or smooth curve

a)

discrete graph

b)

continuous graph

c)

function

d)

relation

e)

none of these

10.

a set of ordered pairs

a)

x-coordinate

b)

y-coordinate

c)

function

d)

relation

e)

none of these

11.

the set of all x-values in a relation or function

a)

x-coordinate

b)

input

c)

function

d)

domain

e)

none of these

12.

the set of all y-values in a relation or function

a)

y-coordinate

b)

output

c)

function

d)

range

e)

none of these

13.

illustrates how each element of the domain is paired with an element of the range

a)

discrete graph

b)

continuous graph

c)

mapping

d)

function notation

e)

none of these

14.

a relation in which each element of the domain is paired with exactly one element of the range

a)

function

b)

relation

c)

ordered pair

d)

mapping

e)

none of these

15.

a way to name a function that is defined by an equation; "y" is replaced with "f(x)"

a)

function

b)

function notation

c)

input

d)

output

e)

none of these

16.

a value substituted for an x-value in a function

a)

x-coordinate

b)

function notation

c)

input

d)

output

e)

none of these

17.

the result of substituting a value into a function

a)

y-coordinate

b)

zeros

c)

input

d)

output

e)

none of these

18.

if any vertical line passes through the graph of a relation more than once, then it is not a function

a)

y-axis

b)

zeros

c)

vertical line test

d)

output

e)

none of these

19.

the x-intercepts of the graph of a function; the points for which f(x)=0

a)

y-axis

b)

zeros

c)

origin

d)

output

e)

none of these

20.

formed by the intersection of two number lines, the horizontal axis and vertical axis

a)

y-axis

b)

coordinate plane

c)

x-axis

d)

quadrants

e)

none of these

21.

Determine the domain of the following relation.

a)

4x1-4\le x\le1  

b)

2x3-2\le x\le3  

c)

All Real Numbers

d)

0x10\le x\le1  

22.

Determine the range of the following relation.

a)

4y1-4\le y\le1  

b)

2y3-2\le y\le3  

c)

All Real Numbers 

d)

0y10\le y\le1  

23.

Determine the domain of the following relation.

a)

{2, 1, 1, 5}\left\{-2,\ -1,\ 1,\ 5\right\}

b)

{2, 0, 4}\left\{-2,\ 0,\ 4\right\}

c)

{1, 0, 1, 2}\left\{-1,\ 0,\ 1,\ 2\right\}

d)

{1, 2, 3}\left\{1,\ 2,\ 3\right\}

24.

Determine the range of the following relation.

a)

{2, 1, 1, 5}\left\{-2,\ -1,\ 1,\ 5\right\}

b)

{2, 0, 4}\left\{-2,\ 0,\ 4\right\}

c)

{1, 0, 1, 2}\left\{-1,\ 0,\ 1,\ 2\right\}

d)

{1, 2, 3}\left\{1,\ 2,\ 3\right\}

25.

Determine the domain.

a)

x0x\ge0

b)

All Real Numbers

c)

x0x\le0  

d)

x1x\le1  

26.

Determine the relation the mapping depicts.

a)

{(-3,0), (-1,4), (2,4), (4,7)}

b)

{(-3,0), (-1,4), (2,7), (4,4)}

c)

{(0,-3), (4,-1), (7,2), (4,4)}

d)

None of these

27.

Determine the relation the table represents.

a)

{(-4,3), (-2,0), (1,-1), (2,0), (5,-2)}

b)

{(3,-4), (0,-2), (-1,1), (0,2), (-2,5)}

c)

{(-4,-2), (1,2), (3,0), (-1,0), (5,-2)}

d)

none of these

28.

Determine the range.

a)

y0y\ge0

b)

All Real Numbers

c)

y0y\le0  

d)

y1y\le1  

29.
What is the Domain?
a)
-10 ≤ y ≤ 6
b)
y ≤ 6
c)
-10 ≤ x ≤ 6
d)
All Real Numbers
30.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
31.

Find the missing OUTPUT (y) value.

a)
-2
b)
3
c)
9
d)
-7
32.

Find the missing OUTPUT (y) value.

a)
-19
b)
-17
c)
19
d)
17
33.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {-4, -3, 1}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
34.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
{1, 5}
35.
a)
{-7, -5, 2, 3, 7}
b)
{-7, 7}
c)
{1, 2, 3, 4, 5}
d)
{1, 5}
36.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
37.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
38.

Is this mapping diagram a function or not a function?

a)

Function

b)

Not a Function

39.

Is this table a function or not a function?

a)

Function

b)

Not a Function

40.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
41.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

42.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
43.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

44.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

45.

Is this graph pictured a function?

a)

Yes

b)

No

46.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

47.
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)
48.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

49.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

50.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

51.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

52.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

53.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
54.
Given f(x) =
2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
55.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
56.
What is f(8)? 
a)
8
b)
0
c)
3
d)
-2
57.
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week
58.

If f(x) = -x + 4, find f(10).

(a)  

59.

If f(x) = -3x - 8, find f(-3).

(a)  

60.

If  f(x)=x2+2f\left(x\right)=x^2+2 , find  f(4).f\left(-4\right).  



(a)  

61.

If f(x) = 3 - 2x2, find f(-5).

(a)