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) = -x3 + 15x2 + x - 10; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -5.43] and [3.65, ?);
Decreasing over [-5.43, 3.65]
B. P(x) = -x5 - 5x3 - 6x2 + 10x; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -4.65] and [-1.08, 0] and [1.88, ?);
Decreasing over [-4.65, -1.08] and [0, 1.88]
C. P(x) = x4 - 5x3 + 6x2 + x + 10; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -2.09] and [-.82, ?);
Decreasing over [-2.09, -.82]
D. P(x) = x5 + 3x4 - 5x3 - 15x2 + x + 10; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -2.67] and [-1.42, 0] and [1.61, ?);
Decreasing over [-2.67, -1.42] and [0, 1.61]

Answer 1

Answer: D