Which of the following graphs could represent a quartic function.
Asked by maham237 @ in Mathematics viewed by 390 People
Answered by maham237 @
Answer:
D. Graph D
Step-by-step explanation:
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.
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