Verified Answer :

Hagrid

The degree of the function is 3, so it's odd. The leading coefficient is 2, so it's positive. Therefore, the end behavior of the graph of the functions is:
as x approaches negative infinity, f(x) approaches negative infinity
as x approaches positive infinity, f(x) approaches positive infinity

frika

The end behavior of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Degree - 3 (odd);

Leading coefficient - 2 (positive).

Then

  • when \(x\rightarrow -\infty,\) then \(f(x)\rightarrow -\infty;\)
  • when \(x\rightarrow \infty,\) then \(f(x)\rightarrow \infty.\)

See attached graph of the function for graphical illustration.

View image frika

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