Describe the end behavior of the graph of the polynomial function f(x)=3x^5+4x^3-2x+5 Choose the correct answer below. A. B. C. D. I

To determine the end behavior of the graph of the polynomial function $f(x)=3x^{5}+4x^{3}-2x+5$, we need to look at the leading term, which is the term with the highest power of $x$. In this case, the leading term is $3x^{5}$.<br /><br />Since the coefficient of the leading term is positive and the power is odd, the end behavior of the graph will be as follows:<br /><br />- As $x$ approaches positive infinity ($x \to +\infty$), $f(x)$ will also approach positive infinity ($f(x) \to +\infty$).<br />- As $x$ approaches negative infinity ($x \to -\infty$), $f(x)$ will approach negative infinity ($f(x) \to -\infty$).<br /><br />Therefore, the correct answer is:<br /><br />D. The graph of the polynomial function $f(x)=3x^{5}+4x^{3}-2x+5$ will rise to the right and fall to the left.