Let [math] Determine the intervals on which the given function is concave up or down and find the point of inflection. (Help with interval notation.)

The x-coordinate of the point of inflection is

In the next two questions give the largest interval in the domain of [math] that fits the description.

The interval on the left of the inflection point is . On this interval [math] is .
The interval on the right of the inflection point is . On this interval [math] is .