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) = -x6 + 7x5 - x2 - 2x + 16; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-1.63, 0] and [1.41, 2.17];
Decreasing over (-?, -1.63] and [0, 1.41] and [2.17, ?)
B. P(x) = x5 + 7x4 - x3 - 40x2 + 2x + 16; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-1.78, 0] and [1.81, 3.67];
Decreasing over (-?, -1.78] and [0, 1.81] and [3.67, ?)
C. P(x) = -2x5 + 7x4 + 9x3 - 40x2 + 4x + 16; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-1.71, 0] and [1.81, 2.67];
Decreasing over (-?, -1.71] and [0, 1.81] and [2.67, ?)
D. P(x) = 2x6 + 9x3 - 7x2 + 4x - 16; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-.51, 0] and [1.11, 1.63];
Decreasing over (-?, -.51] and [0, 1.11] and [1.63, ?)

Answer 1

Answer: C