Problem

Find the domain and range of the relation R={(x,y)|y=2x+3}.

Answer

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Answer

The range of a relation is the set of all possible values of y. Since y is dependent on x and x can take any real value, y can also take any real value. Therefore, the range is also all real numbers, denoted as R.

Steps

Step 1 ：The given relation is y=2x+3.

Step 2 ：The domain of a relation is the set of all possible values of x. Since x can be any real number in the given relation, the domain is all real numbers, denoted as R.

Step 3 ：The range of a relation is the set of all possible values of y. Since y is dependent on x and x can take any real value, y can also take any real value. Therefore, the range is also all real numbers, denoted as R.

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