Problem 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.
Problem 2 :
Determine whether the relationship given in the mapping diagram is a function.
Problem 3 :
Determine whether the relationship given in the mapping diagram is a function.
Problem 4 :
Determine whether the relationship given in the mapping diagram is a function.
Problem 5 :
Use the vertical line test to determine which of the following graphs represent a function.
Problem 6 :
Use the vertical line test to determine which of the following graphs represent a function.
Problem 7 :
Use the vertical line test to determine which of the following graphs represent a function.
Problem 8 :
Determine whether the relationship given in the table is a function.
1. 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.
2. Answer :
Because each input value is paired with only one output value, the relationship given in the above mapping diagram is a function.
3. Answer :
Because 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.
4. Answer :
Because the input value 'c' is not paired with any output value, the relationship given in the above mapping diagram is not a function.
5. Answer :
The given graph does not represent a function as a vertical line cuts the graph at two points P and Q.
6. Answer :
The given graph represents a function as any vertical line will intersect the graph at most one point P.
7. Answer :
The given graph does not represent a function as a vertical line cuts the graph at two points A and B.
8. Answer :
Because each input value is paired with only one output value, the relationship given in the above table is a function.
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