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.
-$$f ( x ) = - x ^ { 4 } + 29 x ^ { 2 } - 100 ; [ 3,4 ]$$
A) $( 3.81,110.25 )$
B) $( 5,887.50 )$
C) $( - 4,110.25 )$
D) $( 0,100 )$

Question

Quizplus · Accepted Answer

The turning point of the graph of the given polynomial function $f(x) = -x^4 + 29x^2 - 100$ in the interval $[3,4]$ can be found using a graphing calculator. By plotting the function and examining the graph within the specified interval, we can identify the turning point's coordinates. The correct answer, $(3.81, 110.25)$, falls within this interval and represents a local maximum or minimum on the graph of the function. The other options either fall outside the specified interval or do not correspond to turning points of the function within the given domain.

Use a Graphing Calculator to Find the Coordinates of the Turning