Describe the end behavior of the function f(x) = 3 − 4x + 6x2 − 5x3.

we are given [tex]f(x)=3-4x+6x^2-5x^3[/tex]we can see that this is polynomialso, firstly we will find degree and leading coefficientsDegree:It is the highest exponent of the polynomialhighest exponent is 3so, degree=3which is oddLeading coefficient:It is the constant term multiplied to highest exponent termwe can see that constant term is -5so, leading coefficient is -5which is negative End behavior:degree is odd and leading coefficient is negative so, it rises to left and falls to right or we can also write as[tex]x-->-\infty, y-->\infty[/tex][tex]x-->\infty, y-->-\infty[/tex]