How To Do Function Tables

IDENTIFYING FUNCTIONS FROM TABLES

A office assigns only output to each input. The value that is put into a function is the input. The result is the output.

Relationships between input values and output values tin can also be represented using tables. The values in the first column are the input values. The values in the second column are the output values. The relationship represents a role if each input value is paired with only one output value.

Example ane :

Determine whether the relationship given in the table is a function.

Solution :

Since each input value is paired with just one output value, the human relationship given in the to a higher place tabular array is a function.

Example 2 :

Determine whether the human relationship given in the table is a office.

Solution :

Since 2 is paired with more than one output value (both xx and forty), the relationship given in the above tabular array is non a function.

Example three :

Determine whether the relationship given in the table is a office.

Solution :

Since each input value is paired with only i output value, the relationship given in the above table is a function.

Annotation :

In the above table, b and c have the same output value. However, b has only one output value y and c also has just ane output value y. Moreover, no input value has more one output value.

Example four :

Decide whether the relationship given in the tabular array is a function.

Solution :

Since each input value is paired with only one output value, the relationship given in the higher up table is a office.

Instance 5 :

Determine whether the relationship given in the table is a part.

Solution :

Since the input value 3 is paired with more than one output value, the relationship given in the to a higher place table is not a function.

Example half dozen :

Decide whether the human relationship given in the table is a function.

According to the dominion of the role, there must be an output value for each input value. Since there is no output value for the input value "c", the relationship given in the to a higher place tabular array is non a role.

Example seven :

Decide whether the relationship given in the tabular array is a office.

Solution :

Since each input value is paired with just 1 output value, the relationship given in the above table is a function.

Example 8 :

Is it possible for a role to have more than one input value but only one output value ? Provide an illustration to support your answer.

Solution :

Yes, a function can peradventure take more one input value, but merely ane output value.

Illustration :

In the higher up table, in that location are five input values values (1, 2, 3, 4 and 5). Only at that place is simply one out put value 6.

According to the rule, each input value must take only ane output value and no input value should have more than i output value.

In the above table, input value one has only one output value vi. The same has happened to the other input values 2, 3, 4 and 5 also. No input value has more than ane out put value.

Hence, the relationship given in the to a higher place table is a function.

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