Question

In a paragraph, explain what the domain and range are for a function.

Answer 1

The set of all first elements of the ordered pair in a relation R from a set A to set B is called the domain of the relation R

The set of all second elements in a relation R from a set A to a set B is called the range of the relation R

Answer 2

DOMAIN:

domain is a set of values of x, for which the value of function is defined.

e. g.,

$f(x) = x$
here, we can put x any thing as there is no issue of indefinite.

hence, domain of f(x) is R.

take second example
$f(x) = \frac{1}{1 - x}$
here you can put any value of x except x=1;

because at x =1 , denominator of function will become zero and function well become indefinite

hence domain is R - {1}


RANGE

range is the set of values given by function (on putting the values of x included in domain)

for eg.,

$f(x) = x$


here domain is R

also, range is R



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