per3.Knight- Review Sheet

per3.Knight- Review Sheet - Chapter 2 Review Sheet Chapter...

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Chapter 2 Review Sheet Chapter 2.1 Average rate of change: the change in the value of quantity (∆ y) divided by the elapsed time (∆x) AROC = change in y f (x 2) - f(x 1 ) Change in x or x 2 - x 1 - Average rate of change will give you the slope of the secant line passing through the 2 points. - The value for the average rate of change for a linear function will be the same even if you use different intervals. - Non linear functions will NOT have the same rate of change when using different intervals. Practice Question 1: Calculate the average rate of change for the function h(t) = 18t - 0.8t 2 over the interval 10< t< 15 AROC= h(15)- h(10) 15-10 Substitute 15 for t into the equation h(t)= 18t - 0.8t 2 . When you get this value put it where h(15) is. Repeat this step for h (10) and solve. * remember to put units for final answer* Chapter 2.2 and 2.3 Instantaneous rate of change is the rate at which the dependent value changes at a specific value.
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