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Sketching Polynomial Functions

Sketching Polynomial Functions 1.8 - Solution

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Let's consider the given function. The degree of the polynomial is which is an even number. For an even-degree polynomial both ends of the function will go in the same direction. So far the possible answers are III and IV. The function also has a positive leading coefficient of Combined with an even degree, it implies that both ends of the function go upwards. Therefore, the answer is III.