Question

Plot the graph
without using a computer :P

Answer 1

\[y=\frac{ x^2-6x+5 }{ x^2-5x+6 }\]

Answer 2

no, you do it.

Answer 3

plug in values of x to get your value for y and then graph it.

Answer 4

My general approach is as follows -
\[(y-1)x^2+(6-5y)x+(6y-5)=0\]
As
\[x \epsilon R ; discriminant \ge 0\]
\[=> y \epsilon (-\infty ,8-4\sqrt{3} ]\cup[8+4\sqrt{3},+\infty )\]

Also,
\[\lim_{x \rightarrow \pm \infty}y = 1\]

Answer 5

why not just plug in values of x, to get your y?.. it's fairly simple that way ..

Answer 6

once you get the coordinates just plot em..

Answer 7

Hence, my graph is as follows -