23. Find the \( x \)-coordinate \( (s) \) of the point(s) of inflection of the curve in problem 22 . \( \begin{array}{lllll}\text { A. }-12,0,12 & \text { B. }-12,12 & \text { C. } \sqrt{12} & \text { D. }-\sqrt{12}, \sqrt{12} & \text { 1. }-\sqrt{12}, 0, \sqrt{12}\end{array} \)

To find the \( x \)-coordinates of the points of inflection for the curve described in problem 22, one typically needs to examine the second derivative of the function. Points of inflection occur where the second derivative changes sign, indicating a change in concavity. Once you find the second derivative and solve for when it is equal to zero or undefined, you can identify the \( x \)-coordinates. In this case, the answers provided suggest that at least one of the points of inflection is at \( -\sqrt{12} \) and \( \sqrt{12} \), typically reflecting symmetry in the function about the y-axis. Moreover, \( 0 \) also appears as an option, indicating that the function may have a point of inflection at the origin, depending on its specific behavior. Keep an eye on those concavity changes!