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.
-$$f ( x ) = x ^ { 4 } - 13 x ^ { 2 } + 36 ; [ - 1,0.5 ]$$
A) $( - 2.55 , - 6.25 )$
B) $( 0,36 )$
C) $( 3,175.50 )$
D) $( 2.55,70.57 )$

Question

Quizplus · Accepted Answer

The polynomial $f(x) = x^4 - 13x^2 + 36$ has turning points within the domain $[-1, 0.5]$. By graphing the function, we can identify the turning points. The point $(0,36)$ is a turning point because when $x=0$, $f(x) = 36$, which is within the given domain. Other options fall outside the specified domain or do not correspond to turning points of the function within the given interval.

Use a Graphing Calculator to Find the Coordinates of the Turning