Question

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

Answer 1

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

Answer 2

Can somebody help me please !!!!!!! 20points

Identify the end behavior of the function ƒ(x) = 7x5 − 4x3 − 9x + 1.