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 - 10x4 - 100x2 + 100; 
domain: (-?, ?); range: (-?, -99.85]; 
Increasing over (-?, -5.16] and [-1.81, 0] and [1.81, 5.16];
Decreasing over [-5.16, -1.81] and [0, 1.81]
B. P(x) = -x6 + 10x4 - 100x2 - 100; 
domain: (-?, ?); range: (-?, 100]; 
Increasing over (-?, -4.41] and [-.61, 0] and [1.70, 3.14];
Decreasing over [-4.41, -.61] and [0, .61] and [1.70, ?)
C. P(x) = -x5 - 20x4 - 100x2 + 100x; 
domain: (-?, ?); range: (-?, -100]; 
Increasing over (-?, -3.98] and [-1.11, 0] and [1.11, 3.98];
Decreasing over [-3.98, -.32] and [0, .32]
D. P(x) = -x6 + 20x4 - 100x2 + 100; 
domain: (-?, ?); range: (-?, 99.85]; 
Increasing over (-?, -3.14] and [-1.81, 0] and [1.81, 3.14];
Decreasing over [-3.14, -1.81] and [0, 1.81] and [3.14, ?)

Answer 1

Answer: D