IDENTIFYING FUNCTIONS WORKSHEET WITH ANSWERS

Question 1 : 

Let A  =  {1, 2, 3, 4} and B  =  {a, b, c}. 

Consider the relation R given below which maps the elements from A to B. 

R  =  {(1, a), (2, b), (3, c), (4, b)}

Determine whether the relationship R is a function.

Question 2 :

Determine whether the relationship given in the mapping diagram is a function.

Question 3 :

Determine whether the relationship given in the mapping diagram is a function.

Question 4 :

Determine whether the relationship given in the mapping diagram is a function.

Question 5 : 

Use the vertical line test to determine which of the following graphs represent a function.

Question 6 :

Use the vertical line test to determine which of the following graphs represent a function.

Question 7 :

Use the vertical line test to determine which of the following graphs represent a function.

Question 8 :

Determine whether the relationship given in the table is a function.

Detailed Answer Key

Question 1 : 

Let A  =  {1, 2, 3, 4} and B  =  {a, b, c}. 

Consider the relation R given below which maps the elements from A to B. 

R  =  {(1, a), (2, b), (3, c), (4, b)}

Determine whether the relationship R is a function.

Answer : 

In the above relation R, 

Domain (R)  =  A

And also, every element of A has only one image in B. 

So, the relation R is a function. 

It has been illustrated in the picture shown below. 

Question 2 :

Determine whether the relationship given in the mapping diagram is a function.

Solution :

Since each input value is paired with only one output value, the relationship given in the above mapping diagram is a function.

Question 3 :

Determine whether the relationship given in the mapping diagram is a function.

Solution :

Since 2 is paired with more than one output value (both 20 and 40), the relationship given in the above mapping diagram is not a function.

Question 4 :

Determine whether the relationship given in the mapping diagram is a function.

Answer :

Since the input value "c" is not paired with any output value, the relationship given in the above mapping diagram is not a function.

Question 5 : 

Use the vertical line test to determine which of the following graphs represent a function.

Answer :

The given graph does not represent a function as a vertical line cuts the graph at two points P and Q.

Question 6 :

Use the vertical line test to determine which of the following graphs represent a function.

Answer :

The given graph represents a function as any vertical line will intersect the graph at most one point P.

Question 7 :

Use the vertical line test to determine which of the following graphs represent a function.

Answer :

The given graph does not represent a function as a vertical line cuts the graph at two points A and B.

Question 8 :

Determine whether the relationship given in the table is a function.

Solution :

Since each input value is paired with only one output value, the relationship given in the above table is a function.

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Graphing rational functions

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Decimal representation of rational numbers

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