The Arctic Sea ice extent, the area of the sea covered by ice, grows seasonally over the winter months each year, typically from November to March, and is modeled by G(t), in millions of square kilometers, t months after November 1, 2014.
(a) What is the sign of G¨(t) for 0 < t < 4?
(b) Suppose G¨¨(t) < 0 for 0 < t < 4. What does this tell us about how the Arctic Sea ice extent grows?
(c) Sketch a graph of G(t) for 0 ≤ t ≤ 4, given that G(0) = 10.3, G(4) = 14.4, and G¨¨ is as in part (b). Label your axes, including units.