Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate
graph of the specified function.
-$$f ( x ) = \frac { x ^ { 2 } - 1 } { x ^ { 2 } + 1 }$$
A) $[ - 10,10 ]$ by $[ - 2,2 ]$
B) $[ - 5,5 ]$ by $[ - 15,15 ]$
C) $[ - 10,10 ]$ by $[ - 10,10 ]$
D) $[ - 1,1 ]$ by $[ - 2,2 ]$

Question

Quizplus · Accepted Answer

The function $\frac{x^2 - 1}{x^2 + 1}$ has a horizontal asymptote at $y = 1$ and $y = -1$, and it does not have any vertical asymptotes or peculiar behavior that would require a very tall window. The range of the function is between -1 and 1, and the domain is all real numbers. Therefore, a window that includes a wide range for $x$ (like $[-10, 10]$) and a modest range for $y$ (like $[-2, 2]$) will capture the behavior of the function effectively, making option A the most appropriate choice.

Use a Graphing Calculator or Computer to Determine Which of the Given