investigated the behavior of a function at critical points and its behavior when x increases without bound. The purpose of this problem is to interpret the graph of a function at such points. In this activity, interpret what you see in the graph in light of the algebraic expression of the function.

Y=3/2[x/(x-1)]^2/3

Task: Plot a graph of the given function, using one of the graphing programs, and explain its behavior at the critical points identified. Deliverable:Graph the functions and answer the questions listed:

1.How does the graph behave as X ight throw^+Why?

1. 2. How does the graph behave as X ight throw pm infinity. Is there a difference between + infinity and -infinityWhy?
2. 3. How does the graph behave near x=1andx= -1?Why?