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) = -x4 + x2 - 3x - 4;
domain: (-?, ?); range: (-?, ?);
Increasing over [-.34, .76];
Decreasing over (-?, -.34] and [.76, ?)
B. P(x) = 2x3 + x2 - 3x + 4;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, -.86] and [.57, ?);
Decreasing over [-.86, .57]
C. P(x) = 2x4 - x2 + 4;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, .57];
Decreasing over (-?, .57] and [.86, ?)
D. P(x) = -x3 - x - 4;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, -.34] and [.76, ?);
Decreasing over [-.34, .76]

Answer: B

Mathematics

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