Polynomial function p is the sum of two polynomial functions, one with degree 2 and a positive leading coefficient and one with degree 3 and a negative leading coefficient. describe the end behavior of p. write an example equation of two polynomial functions and their sum, p, to justify your description.

As x tends to +∞, P tends to 0 and as x tends to -∞, P tends to 0.

Step-by-step explanation:

Let and , where a, b, c, d, e, f, g all are positive coefficients.

So, the function f(x) has degree two and positive leading coefficient and g(x) has degree three and negative leading coefficient.

Now, let

Therefore, as x tends to +∞, P tends to 0 and as x tends to -∞, P tends to 0. (Answer)

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.