Question

Consider the polynomial function p(x)= -9x^9 +6x^6 -3x^3 +1.

Answer 1

Answer:

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

$p\left(x\right)=\:-9x^9\:+6x^6\:-3x^3\:+1$

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 → ∞

Answer 2

Answer: B

Step-by-step explanation:

If it’s for khan