Which statement describes how the graph of the given polynomial would change if the term 2x5 is added?
2 answers:
Answer:
B. The ends of the graph will extend in opposite directions.
Step-by-step explanation:
edge 2020
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.
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