Use a graphing calculator to find the coordinates of the turning points of the graph of the polynomial function in the
indicated domain interval. Give answers to the nearest hundredth.
-$$f ( x ) = - 2 x ^ { 3 } - 16 x ^ { 2 } + 30 x + 108 ; [ 0,1 ]$$
A) $( - 6.50 , - 1037.62 )$
B) $( 0,27 )$
C) $( 0.81,120.74 )$
D) $( - 6.15 , - 913.17 )$

Question

Quizplus · Accepted Answer

To find the turning points of the given polynomial function within the interval [0,1], we can use a graphing calculator. The turning point is where the derivative of the function changes sign, indicating a local maximum or minimum. By graphing the function and examining the interval [0,1], we can identify the turning point closest to the coordinates given in the options. The correct answer, (0.81, 120.74), falls within the specified interval and represents a turning point of the function based on its graphical representation.

Use a Graphing Calculator to Find the Coordinates of the Turning