small logo

Practice One-to-One Functions

Topical Outline | Algebra 2 Outline | MathBits' Teacher Resources

Terms of Use    Contact Person: Donna Roberts
divider
Practice Page
Directions: Read carefully. Choose the best answers.

1.
Which of the following sets represents a one-to-one function?
Choose:
 
{ (3,6), (7,3), (6,4), (4,6), (5,5) }
 
{ (6,3), (3,7), (4,6), (2,4), (5,5) }
  { (6,3), (3,7), (4,6), (2,3), (5,5) }
  { (4,6), (7,3), (6,2), (4,3), (5,5) }

 

 

2.
Functions f (x) and g(x) are represented by the tables shown at the right.

Which function is a one-to-one function?
x
1
2
3
4
f (x)
5
1
2
1
 
x
1
2
3
4
g(x)
2
2
2
2
Choose:
 
f (x)
g(x)
 both neither

 

 

3.
 Is function A, as depicted, an example
of a 1-1 function?

Choose:
 
Yes
No

 

 

4.
Which of graph(s) shown below represent one-to-one functions?

A
B
C
 
Choose:
 
A only
B only
 
Both A and B
Both B and C

 

 

5.
Which of the following functions is a one to one function over the domain of real numbers?

  
 
Choose:
 
y = 3
y = 4x
 
y = | x |
y = x2

 

 

6.
The fastest way to determine if the inverse of a function is itself a "function", is to observe whether the graph of the original function shows a ___________.
  
Choose:
 
reflection in the x-axis
 
one-to-one function
  reflection in the origin
  restricted domain function

 

 

7.
It is given that a function has two input values that produce the same output value. Which description could possibly be true about this function?
  
Choose:
 
The function is an exponential function.
 
The function is a linear function.
  The function is a one-to-one function.
  The function is a quadratic function.

 

 

8.
Function f (x) is shown at the right.

The domain of the graph to be considered for this question, is restricted to only the region of the graph that is decreasing.

a) What is the domain of the section of the graph that is decreasing?
Choose:
 
(-1, 1)
(-1, 0.67)
  (-0.5, 4) (-0.63, 4)

f (x) = 2x3 + x2 - 4x + 1
 
b) Is this function a one-to-one function on the restricted domain?
Choose:
 
Yes
No

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".