Answer:
The polynomial is given below as
Definition of end behavior:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
Step 1:
Figure out the domain of the function
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
![\begin{gathered} f(x)=2x^3-9x^2+11x-20 \\ the\text{ domain of the function is given below as} \\ -\infty<strong>Step 2:</strong><p>Limit the polynomial to -∞ and +∞</p>[tex]\begin{gathered} \lim_(x\to\infty)f(x)=2x^3-9x^2+11x-20=\infty \\ as\text{ x}\rightarrow+\infty,f(x)\rightarrow+\infty \end{gathered}]()
Hence,
The end behavior of the polynomial is given below as
