Question 1052716
The leading term is -3x^5.  
If x increases to positive infinity, the function will be negative.
If x decreases to negative infinity, the function will be positive.
Because x^5 is so much greater than any lower power at large numbers, the first term drives the end behavior.
{{{graph(300,300,-10,10,-1000,1000,-3x^5+9x^4+5x^3+3)}}}