0:00
Hello everyone.
00:01
So in this question we have given r of x is equal to 2x minus 2 divided by x plus 2.
00:06
We have to find x intercept, y intercept, vertical asymptote and horizontal asymptote.
00:13
So now first of all we will find x intercept.
00:18
So in order to find x intercept, r of x should be equal to 0.
00:24
And this r of x is nothing but our y.
00:27
So we will write here 0 is equal to 2x minus 2 divided by x plus 2.
00:36
Now on cross multiplication, this 2x minus 2 is equal to 0.
00:41
Now which implies we will take this minus 2 to the right hand side so that we will get 2x is equal to plus 2.
00:49
And then we will take this 2 to the right side.
00:52
So now we will get x to be equal to 2 divided by 2.
00:56
And on dividing 2 by 2 we will get 1.
00:59
Now next we will find y intercept.
01:04
So in order to find y intercept, we will take x to be equal to 0.
01:12
So now we will replace x by 0.
01:15
So we will get r of 0 is equal to 2 multiplied by 0 minus 2 divided by 0 plus 2, which is equal to minus 2 divided by 2.
01:27
So on dividing minus 2 by 2 we will get minus 1.
01:31
So this is our y intercept.
01:35
Now next we will solve our c part.
01:38
That is, we have to find vertical asymptote.
01:44
So in order to find vertical asymptote, we will equate our denominator with 0.
01:49
That is, our function is r of x is equal to 2x minus 2 divided...