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Based on the end behavior of the graph, which polynomial function is graphed here?

graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3

A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3

Based on the end behavior of the graph which polynomial function is graphed here graph of fx 3x4 6x3 2x2 x 3 A fx 3x4 6x3 2x2 x 3 B fx 3x3 2x2 x 3 C fx 3x4 6x3 class=

Respuesta :

Answer:

C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]

Step-by-step explanation:

As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.

Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.

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