SOLUTION: Can you help me? I need to find all intercepts, and all asymptotes. Show work. For this (x^2+3x-10)/(x^2+8x+15)

Question 917192: Can you help me? I need to find all intercepts, and all asymptotes. Show work. For this (x^2+3x-10)/(x^2+8x+15)

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
f(x) =

=

Vertical asymptote: x = -3

Horizontal asymptote: look at the degree of numerator and denominator
numerator: _x^2_ + 3x - 10 ---> 2
denominator: _x^2_ + 8x + 15 ---> 2

divide coefficients: x^2/x^2 = 1 ----> y = 1

Plug in y = 0 to find x-intercept ---> (2, 0)
Plug in x = 0 to find y-intercept ---> (0, -2/3)
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