Question

Consider the leading term of the polynomial function. What is the end behavior of the graph? 2x^7-8x^6-3x^5-3

Answer 1

Answer:

$\lim_{x \to -\infty}y = -\infty\\ \lim_{x \to \infty}y = \infty$

Step-by-step explanation:

Due to the fact that the degree of the polynomial is odd, we know one end must go up and the other down. Because the leading coefficient is even, we know that as x approaches negative infinity, y approaches negative infinity as well. As x approaches positive infinity, y approaches positive infinity.