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) = x4 - 2x2 - 3x + 12; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -1.21] and [.97, ?);
Decreasing over [-1.21, .97]
B. P(x) = 2x3 - 12x2 - 5x - 12; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-.98, 3.09];
Decreasing over (-?, -.98] and [3.09, ?)
C. P(x) = -3x5 + 2x4 - x2 + 2x - 12; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -1.33] and [.67, ?);
Decreasing over [-1.33, .67]
D. P(x) = -3x3 - 10x2 + 5x + 12; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-2.47, .19];
Decreasing over (-?, -2.47] and [.19, ?)

Answer 1

Answer: D