How do i describe the shape of the graph of each cubic function by determining the end behavior and number of turning points?
for ex. y=3x^3-x-3

A cubic is conventionally pictured as a rising curve, passing through a maximum and then a minimum before rising again - a double-humped curve. But depending on the relative sizes of the coefficients of the terms, and hence the proportion of functions with even or odd symmetry, the overall shape may differ widely. In particular, if the terms with odd symmetry dominate, the curve may not show either a maximum or a minimum, with the slope always of the same sign ie it is monotonically increasing or decreasing.


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