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HELP!!!
Examine the mapping diagram. The first set is the months of the year and the second set is the possible number of days per month. Is this relation a function? Explain.

HELP Examine the mapping diagram The first set is the months of the year and the second set is the possible number of days per month Is this relation a function class=

Respuesta :

carlosego

Answer:

The relationship is not a function.

Step-by-step explanation:

A relation is a function if and only if for each value of the variable x there exists a single value of f(x).

This means that if for a single value of x there is more than one value of y  then the relation is not a function.

For the case shown in the image we have two variables.

The variable Months on the axis of abscissas and the variable days on the axis of the ordinates.

Note that for the month of February there are 2 different values ​​of number of days, 29 and 28. Therefore, the relationship is not a function.

You can use the definition of a function to find out if the given mapping is a function.

No, the given relation is not a function.

What is a function?

There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.

Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.

So, for a mapping to be function, we need each input to be mapped to only one output.

How to find if the given relation is a function?

Using the aforesaid definition of a function, and the picture given, we see that the given relation is not a function because for input "February", there are two output values 28 and 29

Thus,

No, the given relation is not a function.

Learn more about functions here:

https://brainly.com/question/13395697

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