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TIAL POST: 1. What is the quadratic function f(x) that best first your data? 2. Compute the average rate of change (Section 4.2, Topic 4) for your f(x) on the interval represented by your data. Follow Examples 5a and 5b in Section 4.2 using your earliest and most recent values to define the range. Using a from the earliest value in your data and b from the recent, calculate the average rate of change as: f(b) -f(a) b-a This gives the slope of the line joining the points ( a, f(a) ) and ( b, Ab) ). It signifies what steady (constant) rate of change of the function would be required to get from ( a, fla) ) to ( b, Ab) ). So, keep that in mind. You are just finding the slope between two points, just as in Is Example 1 of Section 2.4 but applied to two points of Ax). 3. What is the vertex of your quadratic model f(x)? (Section 4.2, Topic 3 and Section 3.3, Topic 1 ) 4. What can you conclude about the monotonicity (Section 4.2, Topic 2) of your model A(x)? Use relevant intervals with appropriate notation in describing your model's behavior. 5. How is the vertex related to the monotonicity? NICE 2 forwarded messages