Questions: Polynomial and Rational Functions Determining the end behavior of the graph of a polynomial function Choose the end behavior of the graph of each polynomial function. (a) f(x)=2x^5-4x^3-8x^2-1 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (b) f(x)=5x^4+2x^3+x+8 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (c) f(x)=-4(x-3)^2(x+2)^2 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right

Transcript text: Polynomial and Rational Functions Determining the end behavior of the graph of a polynomial function Choose the end behavior of the graph of each polynomial function. \begin{tabular}{|c|c|} \hline (a) $f(x)=2 x^{5}-4 x^{3}-8 x^{2}-1$ & Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right Falls to the left and falls to the right \\ \hline (b) $f(x)=5 x^{4}+2 x^{3}+x+8$ & Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right Falls to the left and falls to the right \\ \hline (c) $f(x)=-4(x-3)^{2}(x+2)^{2}$ & Falls to the left and rises to the right Rises to the left and falls to the right Rises to the left and rises to the right Falls to the left and falls to the right \\ \hline \end{tabular}