Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = -x5 - 10x2 - 10;
domain: (-?, ?); range: [-29.51, ?);
Increasing over (-?, 0] and [4.77, ?);
Decreasing over (-?, 0] and [0, 4.77]
B. P(x) = x4 + x3 - 10x2 + 10;
domain: (-?, ?); range: [-29.51, ?);
Increasing over [-2.67, 0] and [1.90, ?);
Decreasing over (-?, -2.67] and [0, 1.90]
C. P(x) = x5 - 4x3 + 12x2 + 10;
domain: (-?, ?); range: [-29.51, ?);
Increasing over [-.61, ?);
Decreasing over (-?, -.61] and [0, 7.85]
D. P(x) = -x4 + x3 - 12x2 + 10;
domain: (-?, ?); range: [-29.51, ?);
Increasing over [-3.56, 0] and [.83, ?);
Decreasing over (-?, -3.56] and [0, .83]
Answer: B
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