• Is it the graph of a function?
  
  Yes, it is the graph of a function. The graph passes the vertical line test.
  
  
• What is the domain of $f$?
  
  The domain is the set of all $x$-values for which there are plotted points on the graph. The domain is made up of three isolated points and two closed intervals: $\{-4,-3,1\} \cup [-2,0] \cup [2,4]$.
  
  
• What is the range of $f$?
  
  The range is the set of all $y$-values for which there are plotted points on the graph. The range is the closed $y$-interval $[-1,3]$.
  
  
• $f(1)=2$; $f(3)=0$; $f(3.5)=1.5$; $f(1.5)$ is not defined.
  
  
• Find the $x$ and $y$-intercepts.
  
  There are two $x$-intercepts: $(-1,0)$ and $(3,0)$
  
  The $y$-intercept is $(0,1)$.