Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate
graph of the specified function.
-$$f ( x ) = 10 + 8 x - x ^ { 3 }$$
A) $[ - 4,5 ]$ by $[ - 5,5 ]$
B) $[ - 10,20 ]$ by $[ - 50,50 ]$
C) $[ - 4,5 ]$ by $[ - 15,25 ]$
D) $[ - 10,10 ]$ by $[ - 10,5 ]$

Question

Quizplus · Accepted Answer

Using a graphing calculator or computer, we can graph the function for each of the given windows and compare them visually. The graph of the function has roots at $x=-2$, $x=0$, and $x=4$, and we can see that window C encompasses all three roots and provides enough space on the y-axis to clearly show the behavior of the function as $x$ approaches positive and negative infinity. Windows A and D do not provide enough space on the y-axis, and window B is too wide and does not provide enough detail near the roots. Thus, the best choice for the viewing window is C.

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