Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate
graph of the specified function.
-$$f ( x ) = x ^ { 2 } + \frac { 1 } { 10 } \cos 70 x$$
A) $[ - 0.1,0.1 ]$ by $[ - 0.1,0.1 ]$
B) $[ - 2,2 ]$ by $[ - 1,1 ]$
C) $[ - 0.6,0.6 ]$ by $[ - 0.1,0.6 ]$
D) $[ - 10,10 ]$ by $[ - 10,10 ]$

Question

Quizplus · Accepted Answer

The function includes a periodic term with period $\frac{2\pi}{70}$, meaning that the function oscillates approximately 35 periods over an interval of length 1. Therefore, options A, B, and D are not appropriate since they do not show the necessary number of periods. Option C displays the appropriate number of periods while also showing enough of the $x$-axis to see the shape of the function without it becoming too stretched out.

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