For Problem 1, sketch the graph of one function f(x) that has all of the following properties. 1. • f(x) > 0 for all x f'(x) < 0 for all x ● f'(x) is increasing for all x ● 2. After t weeks, the thickness of the ice layer on the surface of a lake is given by f(t) cm (see graph to the right). Complete each of the statements with the correct choice(s). Note that there may be multiple correct choices for each item. (a) The thickness of the ice is (positive / negative / increasing / decreasing). (b) The rate of change of the ice thickness is (positive / negative / increasing / decreasing). f(t) 12 10 8 6 4 2 24 6 8 10

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