The four Bernstein polynomials of degree 3 are shown in the following graph. Red shows , green shows , blue shows , and black shows .
On which interval is the first polynomial the greatest of the four?
Answer: [
,
)
What percentage of does that interval cover?
Answer:
%
On which interval is the second polynomial the greatest of the four?
Answer: (
,
)
What percentage of does that interval cover?
Answer:
%
On which interval is the third polynomial the greatest of the four?
Answer: (
,
)
What percentage of does that interval cover?
Answer:
%
On which interval is the fourth polynomial the greatest of the four?
Answer: (
,
]
What percentage of does that interval cover?
Answer:
%
You can earn partial credit on this problem.