Use the algorithm for curve sketching to sketch the following:

Question

y= 2x/(x^2-25)

Answer 1

you know that
there is an x-intercept and a y-intercept at (0,0)
there are two vertical asymptotes at x = -5 and +5
The horizontal asymptote is y=0

type in your function at wolframalpha.com to verify your sketch.