Suppose a polynomial function has degree n. How many y-intercepts do you think this function has? Explain.Does a third-degree polynomial function ever have any absolute extrema? Explain.Does a fourth-degree polynomial function ever have any absolute extrema? Explain.
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How many y-intercepts does a polynomial function of degree n have? A polynomial function of degree n can have at most one y-intercept. This is because a polynomial function is continuous and can only cross the y-axis once. The y-intercept occurs when x=0, so the Show more…
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