Use good notation and show all of your work. Write solutions to word problems in a sentence. 1. Sketch a function that: (a) Increases everywhere (b) Decreases, then increases (c) Increases, decreases, increases 2. Consider the graph below, determine the intervals where the function is increasing if: (a) The graph shown represents f(x). (b) The graph shown represents f'(x). 3. A county realty group estimates that the number of new home constructions per year over the next 300 three years will be H(r) = 1 + 0.03r2 , where r is the mortgage rate (in percent). (a) Find and simplify H'(x). Quotent Rule (b) Where is H(r) increasing? (c) Where is H(r) decreasing? What does it mean? What does it mean? Page 1