• Determine the domain and range of $f$.
  
  There are $(x,y)$ ordered pairs plotted for all $x$-values from $x=-5$ to $x=5$. The domain is $[-5,5]$.
  
  
• Determine intervals on which $f(x) > 0$ and intervals on which $f(x) < 0$.
  
  $f(x)>0$ whenever the graph of $f$ lies strictly above the $x$-axis. This appears to be the case when $-4<x<0$ or $3<x\le5$. Therefore, the solution of $f(x)>0$ in interval notation is $(-4,0) \cup (3,5]$.
  
  $f(x)<0$ whenever the graph of $f$ lies strictly below the $x$-axis. This appears to be the case when $-5\le x<-4$ or $0<x <3$. Therefore, the solution of $f(x)<0$ in interval notation is $[-5,-4) \cup (0,3)$.