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 + 4x2 + x - 5; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, .16);
Decreasing over [-2.86, ?)
B. P(x) = x5 + 4x3 - x2 + 3x - 5; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, 2.86] ;
Decreasing over [2.86, .16] and [.16, ?)
C. P(x) = x3 + x2 + x + 5; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -4.12] and [1.45, ?);
Decreasing over [-4.12, 1.45]
D. P(x) = x3 + 4x2 - x - 5; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -2.86] and [.16, ?);
Decreasing over [-2.86, .16]

Answer 1

Answer: D