At what point to the curves $y=ax$, $y=a/x$, and $y=x^3/a$ Intersect with one another when a>0 Hi this has been bugging me for a while now I have the answers however they only detail the points I have so far been  unable to figure out how to find these points. Image of problem with arrows to unknown points 

Indeedd to find the intersection points  we may do the following:
$y=y \Rightarrow ax=\frac{a}{x} \Rightarrow x^2=1 \text{ as }  a>0 \Rightarrow x=1 \text{ or } x=-1 $. Thus in this case you have two points of intersection . The first for  $x=1$ then $y=a$ and the second $x=-1$ so $y=-a$ .Thus the points are $(1,a)$  and  $(-1,-a)$.  
Similarly you may proceed for the other cases. 
