define the domain and range
Answers
HERE IS YOUR ANSWER. ☆
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
_________________☆☆______________
HOPE IT IS HELP YOU
Domain is a set of all possible values of the variable for which the function is defined.
if any other value out of the domain is taken ,the output can't be defined.
The set of all the outputs which are got putting the values from domain in function is called the range of the function.
We can't get any different output that is not exist in range by putting values from domain.
eg. f(x) =x-2 is defined for all real values of x. If we put any real value , the function will give us an output.
and it's range is also real numbers.
So it is defined from R to R.
For f(x)=1/x
The function is defined by any real number but not defined at x=0.
it's domain is R-{0}. It can out put any value except 0, because numerator is not 0 it can't give 0.
so it's range is also R-{0}.
The function f(x)=|x| has domain =R and Range = only non-negative values.
it is defined from R to [0,००)