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FUNCTIONS - THE AWAKENING

Total questions: 20

Worksheet time: 22mins

Name
Class
Date
1.

Determine whether the given relation is a function or not. If it is a function, determine if it is a one-to-one function.


{(0,0),(1,1),(1,2),(2,4)(3,5),(4,6)}

a)

NOT FUNCTION

b)

FUNCTION BUT NOT ONE-TO-ONE

c)

ONE-TO-ONE FUNCTION

2.

Statement I : Rational Functions are defined as products of polynomial functions.


Statement II: The domain of the function is also referred as the dependent variable.

a)

Both statements are true

b)

Statement I is true; Statement II is false

c)

Both statements are false

d)

Statement I is false, Statement II is true

3.

Determine whether the given graph is a function or not. If it is a function, determine if it is a one-to-one function.

a)

NOT FUNCTION

b)

FUNCTION BUT NOT ONE-TO-ONE

c)

ONE-TO-ONE FUNCTION

4.

FULL NAME OF YOUR GENERAL MATHEMATICS TEACHER


Just use middle initial, not middle name. Don't include period in middle initial. Lower case or upper case will do.

(a)  

5.

If x = 3


Find f (x) = 2x + 3

(a)  

6.

1. The type of relation that describes the pairing of a single x value to a single y value is called

a)

One-to-one

b)

Many-to-one

c)

One-to-many

d)

Many-to-many

7.

Determine whether the given relation is a function or not. If it is a function, determine if it is a one-to-one function.

a)

NOT FUNCTION

b)

FUNCTION BUT NOT ONE-TO-ONE

c)

ONE-TO-ONE FUNCTION

8.
Is this graph a function and how can you tell?
a)
Yes its a function cause it doesn't cross itself
b)
No it's not a function because it goes through the origin
c)
No it's not a function because the x value 4 has y values of  -2 & 2
d)
No it's not a function because the y value 4 has x values of  -2 & 2
9.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
10.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
11.
Which of the following guarantees a set of ordered pairs will not be a function?
a)
An x value repeats
b)
A y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
12.
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.
13.
Solve for f(5):
f(5) = -x + 4
a)
b)
1
c)
-1
d)
-9
14.
Solve for x:
f(x) = 75
f(x) = 25x
a)
x = 75
b)
x = 25
c)
x = 3
d)
x = 4
15.
Sarah is bringing treats to her middle school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students

Which of the variables is dependent?
a)
s
b)
t
16.
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
17.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

18.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

19.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
20.
Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?
a)
After 4 hours of work, Derek makes $37.
b)
Derek needs $4 more to have $37 total.
c)
After working for 4 days, Derek makes $37 total.
d)
After 4 hours of work, Derek now makes $37 an hour instead of $9.25.