3.4 Average Rate of Change Average Rate of Change (A.R.O.C.): change in the function values over the change in the input values. For a function, y = f(x),

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3.4 Average Rate of Change Average Rate of Change (A.R.O.C.): change in the function values over the change in the input values. For a function, y = f(x), between x = a and x = b, the A.R.O.C is:

Example 1 Find the average rate of change between the indicated points. A.R.O.C. = y (-16, 6) 9 3 x -16 -12 -8 -4 4 8 12 16 (-4, -6) -9

Example 2 Find the average rate of change between the indicated points. A.R.O.C. = y (-16, 6) (12, 9) 9 3 x -16 -12 -8 -4 4 8 12 16 -9

Example 3 Find the average rate of change of the function between the values of the variable. A.R.O.C.

Example 4 Find the average rate of change of the function between the values of the variable. A.R.O.C.

Example 5 A man is running around a track 200 m in circumference. With the use of a stopwatch, his time is recorded at the end of each lap, seen in the table below. What was the man’s speed between 66s and 209s? Round answer to the nearest hundredth. Time (s) Distance (m) 32 200 66 400 104 600 153 800 209 1000 270 1200 341 1400 419 1600 Calculate the man’s speed for each lap. Please round answer to the nearest hundredth.