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