College alg

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Analyze the graph of the following function as follows:

(a) Find the x- and y-intercepts.

(b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.

(c) Find the maximum number of turning points.

f(x)=x^2(x+2)

  • College alg -

    y intercept when x = 0 so (0,0)
    when x is large positive this is x^3 + tiny
    when x is large negative, this is x^3 - tiny
    f(x) = x^3 + 2 x^2
    that is a cubic and turns twice

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