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Identify whether the function graphed has na odd or even degree and a positive are negative leading cooefficient

Identify whether the function graphed has na odd or even degree and a positive are-example-1
User Logworthy
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To determine if the degree of the function is odd or even we need to look at the extrema of the graph. If both points to the same side, it is, if X goes to positive infinity or to negative infinity, to both direction Y of the graph is going to the same direction, it means that the degree os even. Otherwise, when the extrema are pointing in different directions, it means the degree is odd.

In the present graph, the degree is odd, because the graph has different directions for each extrema.

To determine the signal to the leading coeficient, we check the direction Y is going to increasing values of X. If Y goes positive, the leading coeficient is positive, if it is negative, the leading coeficiente is negative.

In the present graph, the leading coeficient is positive, because for increasing values of X we have increasi

User Squiter
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