Question

A mapping is shown in the diagram below.

Jan
Feb
Mar
28
29
30
31
Apr
This mapping is
1)
a function, because Feb has two outputs, 28
and 29
2) a function, because two inputs, Nan and Mar,
result in the output 31
3) not a function, because Feb has two outputs, 28
and 29
not a function, because two inputs, Jan and
Mar, result in the output 31

Answer 1

Explanation:

not a function, because Feb has two outputs, 28

Answer 2

Based on the mapping diagram, this mapping is: 3) not a function, because Feb has two outputs, 28 and 29.

In Mathematics, a function is typically used in mathematics for uniquely mapping an input variable (domain or independent value) to an output variable (range or dependent value).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (Feb) in the mapping diagram has multiple dependent values, the relation does not represent a function;

Feb ⇒ 28

Feb ⇒ 29

Complete Question:

A mapping is shown in the diagram below.

This mapping is

1) a function, because Feb has two outputs, 28 and 29

2) a function, because two inputs, Nan and Mar, result in the output 31

3) not a function, because Feb has two outputs, 28 and 29

4) not a function, because two inputs, Jan and Mar, result in the output 31