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2.1_Determining_the_Average_Rate_of_Change

2.1_Determining_the_Average_Rate_of_Change - 1998 to 2000 c...

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2.1_Determining_the_Average_Rate_of_Change.notebook 1 September 17, 2009 Unit 2: Understanding Rates of Change 2.1 Determining Avarage Rate of Change A rate of change is... the slope of a linear graph e.g. : Average Rate of Change = = = Δ y Δ x y 2 -y 1 x 2 -x 1 x 2 -x 1 f(x 2 ) -f(x 1 ) 6 13 16 25 a) Calculate the average rate of change over these intervals: 0 t 6 6 t 10 10 t 13 13 t 16 16 t 25 Example 1: b) What does the ave. rate of change mean for each interval above?
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2.1_Determining_the_Average_Rate_of_Change.notebook 2 September 17, 2009 Example 2: Calculate the average rate of change for the following intervals: a) 1996 to 1998
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Unformatted text preview: 1998 to 2000 c) 2000 to 2004 Note: The slope of each secant line is equivalent to the average rate of change over each interval. On which type of graph would we expect to see the average rate of change to be the same on any given interval? 2.1_Determining_the_Average_Rate_of_Change.notebook 3 September 17, 2009 Example 3: The path of a rocket follows this function: h(t) = -t 2 +70t+10. Find the ave. rate of change over the following intervals: a) 0 ≤ t ≤ 20 b) 20 ≤ t ≤ 50 c) 50 ≤ t ≤ 75 Homework page 76 exercises: 1ad, 4, 6, 8, 13...
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