Students were asked to answer a question at institution and to tell what is most important for them to succeed. One which response stood out from the rest was practice. People who generally are successful do not become successful by being born. They work hard and dedication their lives to succeeding. This is how you can accomplish your goals. followed below are one of the answer and question example that you could simply utilize to practice and improve your information and also give you insights that could just guide you to preserve your study in school.
Which of the following graphs could represent a quartic function?
D. Graph D
As we know,
Quartic function is a function of the form , where a≠0.
That is, a quartic function is a polynomial of degree 4 called a quartic polynomial.
By the ‘Fundamental Theorem of algebra’, we have, ‘An n-degree polynomial will have ‘n’ number of real roots’.
Thus, we get,
A quartic polynomial will have 4 real roots and so, a quartic function has 4 zeros.
Since, a quartic function has 4 zeros. Its graph will cut the y-axis at 4 points.
Moreover, when a graph touches the axis, it is known to be a repeated zero.
So, from the options, we get,
Option D represents a quartic function as one of its root is repeated and it cuts the the graph 4 times.
From the answer and question examples above, hopefully, they can definitely guide the student resolve the question they had been looking for and keep in mind of each and every thing declared in the answer above. You may then have a discussion with your classmate and continue the school learning by studying the problem alongside one another.