Question

Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
Set B
-3
7
-4
4
2
-2
The mapping diagram above does NOT represent a function since
for each number Jin Set A (the input) there are multiple mappings
from Set A (the input).

Answer 1

Answer:

For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function

Step-by-step explanation:

The relation is a function if and only if each input value has only 1 output value

Examples:

1. The relation {(1, 2), (-3, 5), (0, 10)} is a function because every input has only one output, the input 1 has only output 2, the input -3 has only output 5, the input 0 has only output 10
2. The relation {(-1, -2), (3, -5), (-1, 1)} is not a function because the input -1 has two outputs -2 and 1

Let us solve the question

Use the given figure to find the inputs and their corresponding outputs

Set A →→→→ Set B

∵    -3 →→→→ 2

∵    -4 →→→→ 4

∵     9 →→→→ -2

∵      1 →→→→ 7

∵ Set A is the input and set B is the output

∵ There is only one arrow go from each value in set A to a value in set B

∴ For each number in set A, there is one mapping from set A to set B

∴ The mapping represents a function

For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function