Let p(x) = ax^3 - x, where a is constant and a > 0. Find the local maxima and minima of p. (Enter your maxima and minima as comma-separated xvalue,classification pairs. For example, if you found that x = -2 was a local minimum and x = 3 was a local maximum, you should enter (-2,min), (3,max). If there were no maximum, you must drop the parentheses and enter -2,min.)
maxima and minima:
What effect does increasing the value of a have on the x-position of the maximum(s) you found? (Enter left, none or right if it moves left, has no effect, or moves right.)
What effect does increasing the value of a have on the x-position of the minimum(s) you found? (Enter left, none or right if it moves left, has no effect, or moves right.)
What effect does increasing the value of a have on the y-coordinate of the maximum(s) you found? (Enter up, none or down if it moves up, has no effect, or moves down.)
What effect does increasing the value of a have on the y-coordinate of the minimum(s) you found? (Enter up, none or down if it moves up, has no effect, or moves down.)
