Describe the end behavior of the polynomial function f(x)= -3x^5+2x^4+5x-3

polynomial-function

#1

Describe the end behavior of the polynomial function f(x)= -3x^5+2x^4+5x-3.

Answer:

Since, the function is an odd degree function it has an opposite end behavior, which means as x -> positive infinity, y -> negative infinity and as x -> negative infinity, y -> negative infinity. However, since a < 0 the end bihavior is reversed which means as x -> positive infinity, y -> negative infinity, and as x -> negative infinity, y -> positive infinity.