Which of the following is the graph of an odd-degree polynomial with a positive lead
coefficient?

(Answer choices are in the image)

Which of the following is the graph of an odddegree polynomial with a positive lead coefficient Answer choices are in the image class=

Respuesta :

The answer selected should already be the right answer.

An even number of total minimum/maximums indicates an odd-degree polynomial. For example, only the 3rd and 4th graphs are odd-degree because they have four mins/maxes total.

For the polynomial to have a positive leading coefficient, the line must go up in the positive direction. For example, only the 1st and 3rd graphs have a positive leading coefficient because their right-most line is going upwards.

The 3rd graph is the only answer choice with both of these characteristics, making it the right answer.

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.

Read more about Polynomial Graph at; https://brainly.com/question/4685884

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