Suppose that we were to model a continuous income stream using the function f(t)=t2 / (t-1)(t+1) for t>0. Why is this potentially NOT a good model for a continuous income stream for all t>0?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Suppose that we were to model a continuous income stream using the function

f(t)=t2 / (t-1)(t+1) for t>0.

Why is this potentially NOT a good model for a continuous income stream for all t>0?

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