Determine the end behavior for the function f (x) = (x^2+1) ^2 (2x-3)

We see that the highest power will be 5th degree (multiplying only the placeholders, (x^2) ^2 (2x) = 2x^5)

and the leading coefient is positive

so therefor, since

we see the power is odd, so odd function

the ends go in opsoite directions

we know that if the leadind coefient (number in front of highest power term) is positive, then odd powered polynomials go from bottom left to top right

and for even ones, it goes both up

so we gots posiitve ileading coefient and odd power

same as last time

as x approaches negative infinity, y approaches negative infinity

as x approaches infinity, y approaches infinity