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Asymptotes Mind Map (Horizontal Asymptote (In class we studied two ways of…

- - - - For Example: we have a certain rational equation, we have to take the value of a and c, in this case, we take the values 6 and 3, using the formula we will have to do value a/c so 6/3 which gives 2 which is the horizontal asymptote.
      - For this example we take the value of A so 7 and we divide it by 1 which is the value of C and the result will be 7/1= 7. In conclusion the value of the Asymptote is 7
    - - For Example: if the horizontal asymptote is 3 then we will do 3/100, 3/1000, etc...The result will be all near a certain number in this case 3.01, 3.001 are all near 3 but they will never reach it, this means that the horizontal asymptote is 3
- - - - First of all, we have to think if we can have a zero in the denominator of a fraction? No. So if I set the denominator of the above fraction equal to zero and solve, this will tell me the values that x can not be:
      - This is the way in which we will find the value of the asymptote. So we get the equation of the denominator and then we solve and find the value that gives 0 since we cannot have a denominator of 0 in a fraction
        
        So x cannot be 6 or –1, because then I'd be dividing by zero.