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.
-$$f ( x ) = x ^ { 4 } - 26 x ^ { 2 } + 25 ; [ - 1,0.5 ]$$
A) $( 0,25 )$
B) $( 5,975.00 )$
C) $( - 3.61 , - 144.00 )$
D) $( 3.61,163.27 )$

Question

Quizplus · Accepted Answer

The turning point within the domain $[-1,0.5]$ is at the origin $(0,25)$, where the function $f(x) = x^4 - 26x^2 + 25$ has a local minimum. This can be verified by evaluating the function at $x = 0$, yielding $f(0) = 0^4 - 26(0)^2 + 25 = 25$. Other choices are outside the given domain.

Use a Graphing Calculator to Find the Coordinates of the Turning