Which of the functions below could possibly have created this graph!

The function that plots a graph is given from the characteristics of the graph

The option that gives the function that could possibly have created the graph is the option;

Reason:

Therefore; Options (A) and (B) could not have created the graph

Therefore; Option (C) f(x) = x⁵ + 13·x⁴ + 12·x = x·(x⁴ + 13·x³ + 12) could not have created the graph because, x = 0 is not a factor

Which gives;

The function which could possibly create the graph is the option;

D. F(x) = x⁴ - x³ - 3·x² + 3 = (x - 1)·(x³ -3·x - 3)

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Option D

Step-by-step explanation:

The graph has 3 turning points, therefore a 4th degree polynomial could've been present. The rule is that an nth degree polynomial has n-1 turning points. So Option D is correct.

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step-by-step explanation: