2. Suppose the derivative of g(t) is g′(t) = (t − 7) (t− 3) (t + 2). Determine the largest interval(s)
on which g(t) is increasing.
Possibilities:
(a) (−2, 7)
(b) (−∞, −2) and (7,∞)
(c) (−2, 3) and (7,∞)
(d) (−∞, −2) and (3, 7)
(e) (7,∞)

Question

2. Suppose the derivative of g(t) is g′(t) = (t − 7) (t− 3) (t + 2). Determine the largest interval(s)
on which g(t) is increasing.
Possibilities:
(a) (−2, 7)
(b) (−∞, −2) and (7,∞)
(c) (−2, 3) and (7,∞)
(d) (−∞, −2) and (3, 7)
(e) (7,∞)

anonymous · Answer

the answer is C but can someone explain it to me

anonymous · Answer

The attached plot of g(t) will help you visualize the situation.