When graphing the function f(x)=x^2-81/x^2-11x 18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

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06-07-2022
Mathematics

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When graphing the function f(x)=x^2-81/x^2-11x 18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

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priyankamittal483 priyankamittal483 · Answer 1 · 2022-07-18T12:18:14-04:00

An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.

We have been given a rational function:

[tex]f(x)=\frac{x^{2} -81}{x^{2} -11x+18}[/tex]

And we are required to determine an appropriate viewing rectangle for the graphing calculator.

Hence, An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.

For the given function, an appropriate viewing rectangle will be [-20,20,2] by [-20,20,2].

This function, when graphed using a graphing calculator on the said viewing rectangle, it appears as attached.

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