For the rational function sx1 x9 a Find the horizontal or sl

For the rational function s(x)-1 x-9 (a) Find the horizontal or slant asymptote, if any. (3 points) (b) Find the vertical asymptotes, if any. (3 points) (c) Find the x and y intercepts, if any. (3 points)

Solution

a. here numerator\'s and denominator\'s degrees are equal

Therefore horizontal asymptote,

y=numerator\'s leading coefficient /denominaor\'s leading coefficient

y=1/1=1

.b. Vertical asymptote

x²-9=0

x²=9

x=-3,3

c. x intercepts, f(x)=0

x²-1=0

x²=1

x=-1,1

(-1,0),(1,0)