To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Function Worksheets

Function Worksheets
  • Page 1
 1.  
Which table represents a function?

a.
Table A
b.
Table B
c.
Table C
d.
Table D


Solution:

Table A represents a function, since there is exactly one output for each input.

In Table B, the input value 20 has two output values.

In Table C, the input value 10 has two output values.

In Table D, the input value 40 has two output values.

So, Table B, C and D do not represent a function.


Correct answer : (1)
 2.  
Which of the line graphs represents the function given by the input-output table?


a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Solution:

From the table, as x increases, y increases up to x = 1 and then as x increases y decreases from x = 1 to x = 5.

Graph 3 satisfies the table.


Correct answer : (3)
 3.  
Which table represents a function?


a.
Table A
b.
Table A & B
c.
Table A & C
d.
All


Solution:

In all the tables, there is exactly one output for each input.

So, all the tables represent a function.


Correct answer : (4)
 4.  
Choose an input-output table for the function y = 2x - 3, for x = 5, 10, 15, 20, and 25.


a.
Table 1
b.
Table 2
c.
Table 3
d.
Table 4


Solution:

Input     Function     Output
x = 5     y = 2(5) - 3     y = 7
x = 10     y = 2(10) - 3     y = 17
x = 15     y = 2(15) - 3     y = 27
x = 20     y = 2(20) - 3     y = 37
x = 25     y = 2(25) - 3     y = 47



So, the table for the function y = 2x - 3 matches with Table 2.


Correct answer : (2)
 5.  
Choose an input-output table for the function y = 3(10 - x), for x = 0, 2, 4, 6, and 8.


a.
Table B
b.
Table C
c.
Table D
d.
Table A


Solution:

Input     Function     Output
x = 0     y = 3(10 - 0)     y = 30
x = 2     y = 3(10 - 2)     y = 24
x = 4     y = 3(10 - 4)     y = 18
x = 6     y = 3(10 - 6)     y = 12
x = 8     y = 3(10 - 8)     y = 6





Correct answer : (4)
 6.  
Which function has an output of m = 32 for an input of n = 10?
a.
m = 3n + 2
b.
m = 2n + 3
c.
m = 3n - 2
d.
m = 32n


Solution:

m = 3n - 2

m = 3(10) - 2 = 28
[Substitute n = 10.]

m = 3n + 2

m = 3(10) + 2 = 32
[Substitute n = 10.]

m = 2n + 3

m = 2(10) + 3 = 23
[Substitute n = 10.]

m = 32n

m = 32(10) = 320
[Substitute n = 10.]

So, m = 3n + 2 has the output of m = 32, for an input of n = 10


Correct answer : (1)
 7.  
Which function is best reprsented by the table?
Input(x)12345
Output(y)47101316
a.
y = 3x - 1
b.
y = 3x + 2
c.
y = 2x + 2
d.
y = 3x + 1


Solution:

On observing the table, it is found that the output 4 = (3 × 1) + 1, 7 = (3 × 2) + 1, 10 = (3 × 3) + 1, 13 = (3 × 4) + 1, 16 = (3 × 5) + 1

So, the function is y = 3x + 1


Correct answer : (4)
 8.  
Which function is best represented by the table?
Input(x)123456
Output(y)102030405060
a.
y = 10(x + 1)
b.
y = 20(x + 1)
c.
y = 10x
d.
y = 10(x - 1)


Solution:

On observing the table, it is found that the output 10 = 1 × 10, 20 = 2 × 10, 30 = 10 × 3, 40 = 10 × 4, 50 = 5 × 10, and 60 = 6 × 10

So, the function is y = 10x.


Correct answer : (3)
 9.  
Choose the range of the function from the input-output table.
Input(x)123456
Output(y)615201081

a.
{1, 6, 2, 15, 3, 20}
b.
{6, 15, 20, 10, 8, 1}
c.
{1, 2, 3, 4, 5, 6, 6, 15, 20, 10, 8, 1}
d.
{1, 2, 3, 4, 5, 6}


Solution:

The collection of all output values is the range of the function.

So, the range of the function from the table is {6, 15, 20, 10, 8, 1}.


Correct answer : (2)
 10.  
Katie had $8 with her. She sold n apples at $4 each and earned some money. Identify an equation for the money f(n) she had with her finally.
a.
f(n) = 4n + 8
b.
f(n) = 4 n - 8
c.
f(n) = 8 - n
d.
f(n) = 8 n


Solution:

The money she had finally = money earned by selling n apples + money she had initially.

The money earned by selling n apples = n × cost of each apple = n × 4 = $4n

So, the equation for the total money she had finally is f(n) = 4n + 8


Correct answer : (1)

More Function Worksheets
Solving Square Root Functions Worksheet Transformations of Trig Functions Worksheet
Trig Functions Worksheet Linear and Quadratic Functions Worksheet
Modeling Quadratic Functions Worksheet Nonlinear Function Worksheet
Odd and even Function Worksheet Operation of Functions Worksheet
Operations on Functions Worksheet Position - Velocity - Acceleration Functions Worksheet
Power Functions with Modeling Worksheet Properties of Function Worksheet
Quadratic Function Worksheet Relations and Functions Worksheet
12 Basic Functions Worksheet Absolute Value Function Worksheet
Average Value of a Function Worksheet Composite and Inverse Functions Worksheet
Composite Functions Worksheet Composition of Functions Worksheet
Continuity of Composite and Piece-wise Functions Worksheet Critical Points for Functions Worksheet
Domain Range Function Worksheet Even and Odd Function Worksheet
Exponential and Logarithmic Functions Worksheet Exponential Decay Functions Worksheet
Exponential Functions I Worksheet Exponential Functions II Worksheet
Exponential Functions Worksheet Exponential Growth Worksheet
*AP and SAT are registered trademarks of the College Board.