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.
-$$f ( x ) = - x ^ { 4 } + 26 x ^ { 2 } - 25 ; [ 3,4 ]$$
A) $( 3.61,144.00 )$
B) $( 5,925.00 )$
C) $( 0,25 )$
D) $( - 4,144.00 )$

Question

Quizplus · Accepted Answer

The turning point within the domain interval [3,4] for the function $f(x) = -x^4 + 26x^2 - 25$ can be found using a graphing calculator. By graphing the function and analyzing the interval, we find that the turning point closest to the given interval and with coordinates to the nearest hundredth is approximately $(3.61, 144.00)$. Other options are either outside the given domain or do not correspond to turning points of the function within the specified interval.

Use a Graphing Calculator to Find the Coordinates of the Turning