Which of the following graphs could represent a quartic function.
Asked by maham237 @ in Mathematics viewed by 398 People
Asked by maham237 @ in Mathematics viewed by 398 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.
Asked by admin @ in Mathematics viewed by 393 persons
Asked by maham237 @ in Mathematics viewed by 417 persons
Asked by wiki @ in Mathematics viewed by 379 persons
Asked by admin @ in Mathematics viewed by 382 persons
Asked by maham237 @ in Mathematics viewed by 316 persons
Asked by maham237 @ in Mathematics viewed by 347 persons
Asked by maham237 @ in Mathematics viewed by 314 persons
Asked by maham237 @ in Mathematics viewed by 373 persons
Asked by maham237 @ in Mathematics viewed by 432 persons
Asked by maham237 @ in Mathematics viewed by 383 persons
Asked by wiki @ in Mathematics viewed by 399 persons
Asked by wiki @ in Mathematics viewed by 523 persons
Asked by maham237 @ in Mathematics viewed by 298 persons
Asked by wiki @ in Mathematics viewed by 308 persons
Asked by carli452 @ in Math viewed by 483 persons
Asked by maham237 @ in Mathematics viewed by 18373 persons
Asked by admin @ in Mathematics viewed by 8164 persons
Asked by admin @ in Mathematics viewed by 5792 persons
Asked by maham237 @ in Mathematics viewed by 3939 persons
Asked by maham237 @ in Mathematics viewed by 3260 persons
Asked by maham237 @ in Mathematics viewed by 2928 persons
Asked by maham237 @ in Mathematics viewed by 2803 persons
Asked by maham237 @ in Mathematics viewed by 2586 persons
Asked by maham237 @ in Mathematics viewed by 2483 persons
Asked by maham237 @ in Mathematics viewed by 2438 persons
Asked by maham237 @ in Mathematics viewed by 2423 persons
Asked by maham237 @ in Mathematics viewed by 2079 persons
Asked by maham237 @ in Mathematics viewed by 1799 persons