Find all zeros and vertical asymptotes of the rational function

Question

Find all zeros and vertical asymptotes of the rational function

𝑓(𝑥)=𝑥−5𝑥2−1f(x)=x−5x2−1.

If there is more than one answer, enter your answers as a comma separated list. If there is no solution, enter NONE. Do not leave a blank empty.

(a) The function has zero(s) at 𝑥=x=  

(b) The function has vertical asymptote(s) at 𝑥=x=  

(c) The function's long-run behavior is that 𝑦→y→  as 𝑥→±∞x→±∞. 

Answer 1

a) None

b) None

c) y approaches negative infinity as x approaches + or - infinity

It's a downward opening parabola, with vertex's y coordinate = -1. It never crosses the x axis. There are no zeros or x intercepts.