1. x1/2=[tex] \frac{-3\pm \sqrt{9+40} }{2} [/tex]
VA(the vertical asymptotes): x=-5, x=2
2. x1/2=[tex] \frac{9\pm \sqrt{81-72} }{2} [/tex]
VA: x=3, x=6
3. [tex] \lim_{n \to \infty} \frac{4x}{7} [/tex]=∞
There is no HA.
4. [tex] \lim_{n \to \infty} \frac{7x+1}{2x-9}= \frac{7}{9} [/tex]
HA : y=7/2
5. [tex] \lim_{n \to \infty} \frac{ x^{2} +5x+3}{4x-1} [/tex] =∞
There is no HA.
6. m=[tex] \lim_{n \to \infty} \frac{ x^{2} -4x+8}{ x^{2} +2x} [/tex]
m = 1
b=[tex] \lim_{n \to \infty} \frac{ x^{2} -4x+8- x^{2} -2x}{x+2} [/tex]
b = -6
OA: y = x - 6
7. Same method:
m = 2
b = 0
OA: y = 2x
8. m = 0
There is no OA.
m = 4
b=-1
OA: y=4x-1
