00:01
Hello everyone, in this question the following function is given we have to find whether it is a function or not.
00:07
So the first part is x comma y belongs to z square such that x square plus y square equal to 5.
00:15
So x square plus y square equal to 5 look like a circle with radius equal to 5.
00:27
So when we draw a vertical line test tells us that it if line intersect intersect a circle at more than one point.
00:53
It is not a function.
00:55
So when we draw a line to this function it touches more than one point.
00:59
So here it is not a function.
01:02
So the next is given as x comma y belongs to n square such that y equal to x square.
01:07
Yes, it is a function because on vertical line test the line touches at one point.
01:24
Then the c part is 1 comma 1 1 comma 2 1 comma 3 1 comma 4.
01:32
Here it is not a function because the same input we obtained for difference because the same input we obtained for different outputs that is if you see this 1 1 1 here it is 1 2 3 4.
01:58
So for this this this all are one input.
02:02
So it is not function then the d is they are given x comma y belongs to z square such that x is equal to y square.
02:15
No, it is not a function because the vertical line test touches two point.
02:25
So it is not a function then they have given e as 1 comma 1 2 comma 1 3 comma 1 4 comma 1.
02:35
So if you draw the graph 1 2 3 4 1 all are mapped to 1.
02:40
So this is a function so we can have same input but not sorry we can have same output but not same input...