HOW TO FIND DOMAIN AND RANGE OF A MAPPING DIAGRAM

Domain :

The domain of a function f(x) is the set of all values for which the function is defined

Range :

The range of the function is the set of all values that f takes.

They may also have been called the input and output of the function.) .

Example 1 :

Examine whether the following mapping diagram represents function or not, find its domain, range and co-domain.

Solution :

Every element of A is associated with exactly one element in B. So, it is function.

Domain = {1, 2, 3}

Range = {5, 6, 8}

Co-domain = {5, 6, 7, 8}

Example 2 :

Solution :

By observing the mapping, it is clear it is not a function. Because -3 is having more than one image.

Domain = {-3, 2, 6}

Range = {-5, 0, 2, 7}

Co domain = {-5, 0, 2, 7}

Example 3 :

Solution :

By observing the mapping, it is a function.

Domain = {16, 19, 21, 22}

Range = {25, 39, 32, 53}

Co domain = {25, 39, 32, 53}

Example 4 :

Solution :

By observing the mapping, it is not a function. Because -7 is having more than one image.

Domain = {-7, 2, 10}

Range = {1, 2, 3, 4}

Co domain = {1, 2, 3, 4}

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