What does the end behavior look like of the graph of the function f(x)=-8x^4-2x^3+x? i know what the graph itself looks like but i have trouble explain its end behavior. you.

In this question, the highest power is x^4 which is an even number. In this case, the f(x) will be same for plus X or minus X.
The coefficient is -8 which is a minus. In this case, the f(x) will become minus: 

The result would be:
when X go the left end(X= -∞), the f(x) will become minus (f(x)→−∞)
f(x)→−∞, as x→−∞

when X go the right end(X= +∞), the f(x) will become minus (f(x)→−∞)
f(x)→−∞, as x→+∞

Move the decimal behind it

Then just do it (lol)