Answer:
D. Graph D
Step-by-step explanation:
As we know,
Quartic function is a function of the form [tex]f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e[/tex], 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.
