Use graphical methods to find any turning points of the graph of the function.
-$$y = \frac { x + 1 } { x ^ { 2 } + 3 x + 3 }$$
A) No turning points
B) $\left( 0 , \frac { 1 } { 3 } \right)$ and $( - 2 , - 1 )$
C) $( 0,3 )$ and $\left( - 2 , \frac { 1 } { 3 } \right)$
D) $\left( 0 , - \frac { 1 } { 3 } \right)$ and $( - 2,1 )$

Question

Quizplus · Accepted Answer

The turning points of the function can be found by setting the derivative equal to zero and solving for x. Graphically, these points are where the slope of the tangent to the curve is zero, indicating a local maximum or minimum. The given points in option B are the correct turning points.

Use Graphical Methods to Find Any Turning Points of the Graph