Consider the leading term of the polynomial function. What is the end behavior of the graph?
4x^5+1x
The leading term of a polynomial function is the term with the highest power of x. In this case, the leading term is 4x^5.
For polynomial functions with positive leading coefficients (like 4x^5), as x approaches positive infinity (x → ∞), the graph will increase without bound (goes to positive infinity).
Similarly, as x approaches negative infinity (x → -∞), the graph will decrease without bound (goes to negative infinity).
So, the end behavior of the graph is that it increases without bound as x → ∞ and decreases without bound as x → -∞.