Question

Consider the polynomial function

p(x) = -9x⁹ + 6x6 - 3x³ +1.
End behavior of polynomials
What is the end behavior of the graph of p?

Answer 1

p has an odd degree and an odd leading coefficient.

So,

• As x approaches infinity, p(x) approaches negative infinity.
• As x approaches negative infinity, p(x) approaches infinity.