The derivative of a differentiable function g satisfies g′(x)>0 on the intervals (−4,0) and (2,5) and g′(x)<0 on the interval (0,2). Which of the following best describes the behavior of g on (−4,5)?
a) g is increasing on (−4,0) and decreasing on (0,5).
b) g is decreasing on (−4,0) and increasing on (0,2) and decreasing on (2,5).
c) g is increasing on (−4,0) and (2,5) and decreasing on (0,2).
d) g is increasing on (−4,2) and decreasing on (2,5).