**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.

**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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