00:01
To answer this question, we must know first what is domain, range dependent variable and independent variable.
00:09
Okay, all these things we want to know first.
00:12
Okay, so what is domain, what is range dependent variable, independent variable.
00:17
So first we will consider a variable x.
00:21
Okay, x is a variable and next we are defining y equal to f of x.
00:27
Okay, so here x is the domain.
00:30
Okay so in x we will take some values 1 2 3 etc so we will consider in the natural number system so 1 2 3 etc and it may be mapped to some variable in y so we are considering f of x is in 1 to x so the element 1 is mapped to 1 2 is mapped to 2 3 is mapped to 3 likewise okay so this is the mapping so how we are mapping from x to f of x we are considering the mapping.
01:01
Okay.
01:02
So this variable x is called the domain.
01:05
For every element there is an image.
01:07
Therefore this is called the domain and what is the range? you the element which is having the image is called the range.
01:15
So for example for this problem the domain is set of all elements 1, 2, 3 and the range is also set of all elements 1, 2, 3.
01:26
So if every image has a pre -image then it is called the range so one is having the pre -image one two is having the pre -image as two three is having the pre -image as three suppose if we have four it does not have pre -image okay so therefore in range we will get only three elements one two three this is the domain and range then what about dependent variable and independent variable here x we can take any value therefore it is an independent variable independently we can give any value to the variable, okay, therefore it is a independent variable.
02:04
And f is called or otherwise we can say y is the dependent variable...