Consider the polynomial function p(x)= -9x^9 +6x^6 -3x^3 +1. What is the end behavior of the graph of p?

The end behavior of the graph of p is:

f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

Step-by-step explanation:

Given the polynomial function

Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -9x⁹, then the degree is 9 i.e. odd, and the leading coefficient is -9, i.e. negative.

This means that f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

The graph is also attached below.

Thus, the end behavior of the graph of p is:

f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞

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step-by-step explanation: