I have this equation, plz help me figure out the x,y intercept, horizontal and vertical asymptotes and the tail approximations

(3|x|+4x)/(x-6)

Question

I have this equation, plz help me figure out the x,y  intercept, horizontal and vertical asymptotes and the tail approximations

(3|x|+4x)/(x-6)

anonymous · Answer

To find your vertical asymptote(s) you want to find the zero in your denominator.  To find your horizontal asymptote(s) ask yourself the question what does the equation equal when x is very large positive and very large negative.  This will show you  what your number is approaching.  Try 1000 and -1000.......you will see that the -6 is not much of a factor anymore.

anonymous · Answer

i found out that my VA is 6, HA is 7 and 1
now i need to find x and y int

anonymous · Answer

To find your y intercept(s) plug in x=0.  To find your X intercept(s) let (3|x|+4x)/(x-6)=0.  Do you know how to algebraically solve the absolute value in this function?

anonymous · Answer

i think put the |X| = x and -x, multiply by 3 and do the normal math