Question

Consider the polynomial function q(x)=-2x^8+5x^6-3x^5+50

What is the end behavior of the graph of q?
Choose 1 answer:
(Choice A) As x→∞, q(x)→∞, and as x→−∞, q(x)→∞

(Choice B) As x→∞, q(x)→-∞, and as x→−∞, q(x)→∞

(Choice C) As x→∞, q(x)→-∞, and as x→−∞, q(x)→-∞

(Choice D) As x→∞, q(x)→∞, and as x→−∞, q(x)→-∞

Answer 1

The end behavior of the graph of q(x) is as x approaches positive or negative infinity, q(x) approaches negative infinity.

Step-by-step explanation:

The end behavior of a polynomial function can be determined by examining the leading term of the polynomial. In this case, the leading term is -2x^8. Since the degree of the leading term is even and the leading coefficient is negative, the end behavior of the graph of q(x) is as follows:

• As x approaches positive infinity, q(x) approaches negative infinity.
• As x approaches negative infinity, q(x) also approaches negative infinity.

Therefore, the correct answer is (Choice B) As x→∞, q(x)→-∞, and as x→−∞, q(x)→∞.

Answer 2

C.

Step-by-step explanation:

Answer A and D are definitely incorrect. Hope this helps Zoey. #Zoeyiscute:)