The Leading-Term Test

A polynomial of degree 4

Graph of $g(x) = - \frac{1}{14} (x+4)(x+1)(x-1)(x-3) + \frac{1}{2}$. As the degree is even and the leading coefficient is negative, the function declines both to the left and to the right.

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The Leading-Term Test

A polynomial of degree 4

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