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.
-$$f ( x ) = - x ^ { 3 } - 10 x ^ { 2 } - 3 x + 54 ; [ - 1,0 ]$$
A) $( - 2.50 , - 16.62 )$
B) $( - 6.51 , - 626.96 )$
C) $( 0 , - 6 )$
D) $( - 0.15,54.23 )$

Question

Quizplus · Accepted Answer

The turning point of the polynomial function $f(x) = -x^3 - 10x^2 - 3x + 54$ in the interval $[-1,0]$ can be found using a graphing calculator. The correct coordinates, rounded to the nearest hundredth, are $(-0.15, 54.23)$. This is because turning points are located where the derivative of the function equals zero, and within the given interval, this is the point that fits the criteria and is closest to the actual turning point calculated.

Use a Graphing Calculator to Find the Coordinates of the Turning