Finding the Range Graph the function in the window by .
Chapter 1, Problem 1.171(choose chapter or problem)
Finding the Range Graph the function \(f(x)=\frac{3 x^{2}-1}{2 x^{2}+1}\) in the window [-6,6] by [-2,2].
(a) What is the apparent horizontal asymptote of the graph?
(b) Based on your graph, determine the apparent range of f.
(c) Show algebraically that \(-1 \leq \frac{3 x^{2}-1}{2 x^{2}+1}<1.5\) for all x, thus confirming your conjecture in part (b).
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