Determine the end behavior of f(x)=-x^2*(x-2)(x+1). Show the x- and y-intercepts and find the maximum number of turning points

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justaguide eNotes educator| Certified Educator

The function f(x) = -x^2*(x - 2)(x + 1). The y intercept is equal to 0. The x-intercept is 2, 0 and -1.

The graph of the function is:

As x tends to -inf., f(x) tends to -infinity and as x tends to inf., f(x) tends to infinity.

Also, there are 3 turning points.