Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.

Question

A. P(x) = -x5 - 3x2 + 6; 
domain: (-?, ?); range: [3.75, ?); 
Increasing over [-2.21, 0] and [2.21, ?);
Decreasing over (-?, -2.21] and [0, 2.21]
B. P(x) = x4 - 3x2 + 6; 
domain: (-?, ?); range: [3.75, ?); 
Increasing over [-1.24, 0] and [1.24, ?);
Decreasing over (-?, -1.24] and [0, 1.24]
C. P(x) = x5 + 2x3 + 6; 
domain: (-?, ?); range: [4.86, ?); 
Increasing over [-1.64, 0] and [1.64, ?);
Decreasing over (-?, -1.64] and [0, 1.64]
D. P(x) = x6 - 2x2 - 6; 
domain: (-?, ?); range: [4.86, ?); 
Increasing over [-.98, 0] and [.98, ?);
Decreasing over (-?, -.98] and [0, .98]

Answer 1

Answer: B