What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?


Asked by wiki @ in Mathematics viewed by 416 People

Answered by wiki @


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.

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