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 + 20x; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-2.57, 2.57];
Decreasing over (-?, -2.57] and [2.57, ?)
B. P(x) = x3 - 4x2 + 20x; 
domain: (-?, ?); range: (-?, ?); 
Increasing over [-1.96, 1.96];
Decreasing over (-?, -1.96] and [1.96, ?)
C. P(x) = -x3 + 4x2 - 9; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -2.18] and [2.18, ?);
Decreasing over [-2.18, 2.18]
D. P(x) = x3 + 9x; 
domain: (-?, ?); range: (-?, ?); 
Increasing over (-?, -3.14] and [3.14, ?);
Decreasing over [-3.14, 3.14]

Answer 1

Answer: A