The rate of change of the given graphed function in the diagram is: D. 5/2.
Rate of change of a function = slope = change in y / change in x.
Using the two points on the coordinate plane, (4, 0) and (8, 10):
Rate of change = (10 - 0) / (8 - 4)
Rate of change = 10/4
Rate of change = 5/2
Rate of change of the function is: D. 5/2.
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