Question

The function p (not shown) is a polynomial function of degree 4. The graphs of four functions f, g, h , and k are given. The output values of p are the same as the output values of the composition function when p is composed with one of these functinos as the input function. For which of the functions is this true?

Answer 1

Without specific details of functions f, g, h, and k, we can't identify which composed with a polynomial of degree 4 yields the same outputs but generally, it should be an identity transformation or a suitable linear function.

Step-by-step explanation:

The question is concerned with understanding which of the given functions, when composed with a polynomial of degree 4, would produce the same output values as the polynomial itself. This concept revolves around understanding the nature of composition of functions and the properties of polynomial functions. To determine the correct function, we would need to know the specific behaviors of functions f, g, h, and k, which are unfortunately not provided in the question. However, the general idea is that the composition of the polynomial and one of these functions should result in a polynomial of the same degree, which suggests that the correct function must be an identity transformation or a linear function with a slope of positive or negative one