Practice with Functions
Recognize and Evaluate
Topic Index | Algebra2/Trig Index | Regents Exam Prep Center

 

Choose the best answer for each question:
You may want to have your graphing calculator handy.

1.

Which of the relations below is a function?

Choose:

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



 

2.

Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}.  Which of the following values for x will make relation A a function? 

Choose:

7
 9
 4

 

 

3.

The graph of a relation is shown at the right.
Is this relation a function?

Choose:

Yes
 No
 Cannot be determined from a graph


 

 

4.

Is the relation depicted in the chart below a function?

X 0 1 3 5 3 9
Y 8 9 10 6 10 7
 

Choose:

Yes
   No
   Cannot be determined from a chart


 

 

5.

The graph of a relation is shown at the right.  Is the relation is a function?

Choose:

Yes
 No
 Cannot be determined from a graph
 

 

 

6.


Examine the singers at the right.

A relation can be described as:
(x, y) = (boy's name, hair color)

or described as:
(x, y) = (hair color, boy's name)


Trio 1:
  Trino, Greg, Darius


Trio 2:
  Matt, Norman, Julius

For which of the trios will BOTH relations described above be functions?
Choose:

Trio 1
 Trio 2
  Both trios

 



 

7.


Which of the following relations is a function?
 

Choose:
 

 


 

8.

Given f (x) = 3x + 7,  find  f (5).

Choose:

15
22
42


 

 

9.

Given f (x) = 2x² - 3x + 6,  find  f (2.5).

Choose:

11
 23.5
76

 



 

10.

Given g (a) = 2a - 4,  find  g (5x).

 

Choose:

6
 5x - 4
10x - 4



 

 

11.

Given:   ,  find  .

Choose:

-5/3
-5/18
-18/5


 


 

12.

Given f (x) = 2x² - 2x + 1,  find  f (x+3).

Choose:

2x² + 10x + 13
2x² + 10x + 25
2x² + 14x + 13


 


 

13.

Given: find .

Choose:

                  

 

 

 

14.

Given:     find .

Choose:

-17 
 7      
 17

 

 

 

15.

Given:   find .

Choose:

 

 

 

16.

Use functional notation to describe the  function displayed at the right.
x y
-3 9
-2 4
-1 1
0 0
1 1
2 4
3 9

Choose:

f (x) = 2x
 f (x) = x²
f (x) = x + 2