Someone help me understand how to determine the end behavior of the graph of a polynomial function. Explain using this polynomial function y= 5x^3-2x^2+1

Question

brittanie.hair · Answer

@satellite73

anonymous · Answer

the degree is 3 right?

anonymous · Answer

and three is odd

anonymous · Answer

the leading coefficient is positive, ( it is 5)

anonymous · Answer

those two facts taken together means 
$$\lim_{x\to -\infty}f(x)=-\infty\
\lim_{x\to \infty}f(x)=\infty$$

anonymous · Answer

|dw:1423104257427:dw|

brittanie.hair · Answer

Oh okay so it would just be an odd degree

anonymous · Answer

it is an odd degree, it is 3
the same would be true if the degree was five

brittanie.hair · Answer

Alright I think I get it. Can we try another from my homework?

anonymous · Answer

oops computer crash
yes , if you are stillthere