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.
-$$f ( x ) = x ^ { 4 } - 29 x ^ { 2 } + 100 ; [ - 1,0.5 ]$$
A) $( - 3.81 , - 110.25 )$
B) $( 2,174.00 )$
C) $( 3.81,272.02 )$
D) $( 0,100 )$

Question

Quizplus · Accepted Answer

The polynomial $f(x) = x^4 - 29x^2 + 100$ has turning points within the domain $[-1, 0.5]$. By graphing the function, we can identify the turning points. However, without graphing, we can deduce that option D, $(0,100)$, is correct because when $x=0$, $f(x) = 0^4 - 29(0)^2 + 100 = 100$, which is within the given domain. The other options fall outside the specified domain of $[-1, 0.5]$.

Use a Graphing Calculator to Find the Coordinates of the Turning