The inverse relation would be each of these ordered pairs switched.
{(1, -4), (3, -4), (-8, 0), (-9, 8)}
This is because when you create an inverse equation, all of the inputs become outputs and all of the outputs become inputs. Therefore, the ordered pairs simply switch.
I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.
<h3>Answer: there are 4 x intercepts (or 4 roots)</h3>