Question

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

Answer 1

@satellite73

Answer 2

the degree is 3 right?

Answer 3

and three is odd

Answer 4

the leading coefficient is positive, ( it is 5)

Answer 5

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

Answer 6

Oh okay so it would just be an odd degree

Answer 7

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

Answer 8

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

Answer 9

oops computer crash
yes , if you are stillthere