The third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
How to Interpret the graph of a Polynomial?
An even number of total minimums/maximums of the Polynomial is classified as an odd-degree polynomial. Now, we see that only the 3rd and 4th graphs are odd-degree polynomials because they have four total minimums/maximums.
For the polynomial to have a positive leading coefficient, the line must go up in the positive direction. This means that only the 1st and 3rd graphs have a positive leading coefficient due to the fact that their right-most line is going upwards.
Thus, we can say that the third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
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