Problem 3.2.60
Using f(x) = -x^2(x + 2)(x - 2) determine the following:
(a) Use the Leading Coefficient Test to determine the graphs end
behavior.
(b) Find the x-intercepts. State whether the graph crosses the
x-axis, or touches
the x-axis and turns around, at each intercept.
(c) Find the y-intercept.
(d) Determine whether the graph has y-axis symmetry, origin
symmetry, or neither.
(e) If necessary, find a few additional point and graph the
function. Use the
maximum number of turning points to check whether it is drawn
correctly.
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