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Unit 4 - Functions

Total questions: 62

Worksheet time: 2hrs 54mins

Name
Class
Date
1.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
2.
Is the relation a function? 
{(4,5), (4,-7), (4,2), (4,0), (4,9)}
a)
Yes
b)
No
3.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
4.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
5.
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.
6.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
7.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
8.
Solve for f(5):
f(5) = -x + 4
a)
9 
b)
1
c)
-1
d)
-9
9.

Is this a function or not?

a)

Function

b)

Not a Function

10.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
11.

Is this a function?

a)

Yes

b)

No

c)

Let me ask my dog...

d)

Why are there letters in math?

12.

Is this a function?

a)

Yes

b)

No

c)

I'm Confused

d)

May I phone a friend?

13.

Given f(x) = 3(6 -x), what is the value of f(-8)

a)

-42

b)

6

c)

-6

d)

42

14.
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)
15.

Which set of values is not a function?

a)

(9,5) (10,5) (4,-5) (8,-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)

16.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

17.

If f(x) = -3x - 8, find f(-1).

a)

f(-1) = 5

b)

f(-1) = -5

c)

f(-1) = -12

d)

f(-1) = -10

18.

If f(x) = x2-x+3, what would the function look like once you substitute in a -3 to find f(-3)?

a)

f(-3) = -32-3+3

b)

f(-3) = (-3)2 -(-3)+3

c)

f(-3) = (-3)2 -3+3

19.

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

a)

Relation

b)

Linear

c)

Exponential

d)

Function

20.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(m) represent?
a)
Total Cost of a taxi
b)
Total Miles in taxi
21.

what is f(4) if f(x) equals x+9?

a)

16

b)

13

c)

10

d)

7

22.

f(x) equals x-6. what is f(0)?

a)

0

b)

6

c)

-6

d)

1

23.

what is function notation?

a)

adding functions.

b)

i wasn't listening

c)

the way an equation (function) is written.

d)

pass.

24.

Yes or No, Is the graph a function?

(a)  

25.

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

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

26.

How do you read f(x)?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

27.

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

a)

Let x = 2

b)

Let y = 2

28.

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

29.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

30.

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.

31.
g(x) = 3x + 1
g(2) = _______
a)
6
b)
7
c)
8
d)
9
32.
Evaluate for f(1)
a)
0
b)
-3
c)
3
d)
2
33.
Evaluate for f(-5)
a)
1
b)
0
c)
2
d)
-2
34.
Using the graph, what does f(8) equal?
a)
8
b)
2
c)
1
d)
0
35.
For what value of t is H(t) = 4" ? 
a)
0
b)
1
c)
2
d)
14
36.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
37.
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
38.
A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.
a)
g(8)=8.  This means that after 8 packages of gum, the company makes $8.
b)
g(8)=42.  This means that 8 packages of gum costs $42.
c)
g(8)=28.  This means that 8 packages of gum costs $28.
d)
g(8)=24.  This means that 8 packages of gum costs $24.
39.
Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?
a)
Ms. Brackemyer starts with 8 pencils and ends with 52.
b)
After 8 days, Ms. Brackemyer has 52 pencils.
c)
Ms. Brackemyer starts with 52 pencils and gets 4 more every day.
d)
Every day, Ms. Brackemyer gets 4 new pencils until she has 52.
40.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
41.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
42.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
43.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
44.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
45.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
46.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
47.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
48.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
49.
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: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
50.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
51.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
52.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
53.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
54.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
55.
Which of the following graphs have a domain of -4<x≤6?
a)
A
b)
B
c)
C
d)
D
56.
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.
57.
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
58.
Find the inverse of the function
f(x) = 3x − 5
a)
f-1(x)=3x +5
b)
f-1(x)=(x+5)/3
c)
f-1(x)=3y-5
d)
f-1(x)=3y+5
59.
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
60.

If f(x)=x+5, what is f-1(x)?

a)

(x + 5)2

b)

x - 5

c)

(x + 5)-1

d)

undefined

61.

If f(x)=3x, what is f-1(x)?

a)

x/3

b)

3x2

c)

3x + 3x

d)

3x-1

62.

Which is f -1(x)?

a)

f -1(x) = 5x + 3

b)

f -1(x) = 5x - 3

c)

f -1(x) = 5x - 15

d)

f -1(x) = 1/5(x) + 3/5

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