use the leading coefficient to determine the end behavior of

use the leading coefficient to determine the end behavior of the graph of each polynomial function

f (x)=4x^3-3x^2+5

f (x)=-2x^6+4x^5+2x-8

Solution

f(x)=4x^3-3x^2+5

Here the degree is odd and the leading coefficient is positive, and in such case the graph the graph starts down and goes up.

f(x)=-2x^6 +4x^5+2x-8

Here the degree is even and the leading coefficient is -2 which is negative and in such case both ends are down