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Sketching Polynomial Functions

Sketching Polynomial Functions 1.21 - Solution

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We are given the following function. As we can see, the degree of the polynomial is It's an odd number, so the ends of the function will go in opposite directions. Hence, the possible answers are I and II. The leading coefficient of the polynomial is It is a positive number, which tells us the following. This means that the function enters the coordinate system from the bottom and exits the top. The only graph that meets all the requirements is II.