A piece of cardboard measuring 12 inches by 8 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides.
Find a formula for the volume of the box in terms of x.
V(x) =
Find the value for x that will maximize the volume of the box.
x =
Increasing and Decreasing Functions
Determine the intervals for which the function is increasing or decreasing. Determine any relative extrema. Finally, determine any absolute extrema. If the absolute extrema do not exist, enter "DNE".
Increasing:
Decreasing:
Local Max(s) = (9, 6) at x = 9
Local Min(s) = at x =
Absolute Max = 6
Absolute Min =
Write an equation for the function graphed below.