What are the equations of the asymptotes of the graph of the function f(x) = 3x^2 -2x-1/x^2 +3x-10

the possible answers are
A. x= -5, x= 2, and y= 3
B. x= -2, x= 5, and y= 3
C. x= 3, y= -5, and y= 2
D. x= 3, y= -2, and y= 5

0.02040816326

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)