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Average Rate of Change

• The average rate of change measures how a quantity changes on average over a given interval.

Definition

• The average rate of change of a function f between two points, x = a and x = b, is given by the formula:

  • Average Rate of Change = (f(b) - f(a)) / (b - a)

Example Problem

• In the specific case of the graph provided:

  • Estimate the average rate of change of the function f from x = 4 to x = 7.

    • Step 1: Identify the function values at the given points:

      • f(4) =