Which graph might represent a polynomial function of degree 5 with a negative leading coefficient?
1 answer:
Answer:
A
Step-by-step explanation:
The graph of a 5th-degree polynomial with a negative leading coefficient will start at (-∞, +∞) and end at (+∞, -∞). That is, it will have the overall shape \, <em>downward from left to right</em>. Along the way, it may change direction 0, 2, or 4 times, and may intersect the x-axis up to 5 times.
Only one of the graphs shown has the described end behavior. All of the others have the general shapes ...
B: /
C: ∩
D: U
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