Question

Which statement describes how the graph of the given polynomial would change if the term 2x5 is added?

Answer 1

Answer:

B. The ends of the graph will extend in opposite directions.

Step-by-step explanation:

edge 2020

Answer 2

The original polynomial is
y =8x⁴ - 2x³ + 5

The modified polynomial, after adding 2x⁵, is
y = 2x⁵ + 8x⁴ - 2x³ + 5

Because the leading exponent is odd, therefore:
As x → -∞, y → -∞.
As x → +∞, y → +∞.

The graph confirms the conclusions.

Answer: b. The eds of the graph will extend in opposite directions.