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Identifying the Average Rate of Change

Identifying the Average Rate of Change. Adapted from Walch Education. Average of Rate Change. The average rate of change of a function is the rate of change between any two points of a function; it is a measure of how a quantity changes over some interval.

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Identifying the Average Rate of Change

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  1. Identifying the Average Rate of Change Adapted from Walch Education

  2. Average of Rate Change • The average rate of change of a function is the rate of change between any two points of a function; it is a measure of how a quantity changes over some interval. • The average can be found by calculating the ratio of the difference of output values to the difference of the corresponding input values, from x = a to x = b. This formula is often referred to as the average rate of change formula. 5.5.3: Identifying the Average Rate of Change

  3. Average Rate of Change • Recall that the slope of a linear function is found using the formula • Both formulas are used to find the rate of change between two specific points. • The rate of change of a linear function is always constant, whereas the average rate of change of a quadratic function is not constant. 5.5.3: Identifying the Average Rate of Change

  4. Practice # 1 Calculate the average rate of change for the function f(x) = x2 + 6x + 9 between x = 1 and x = 3. 5.5.3: Identifying the Average Rate of Change

  5. Evaluate the function for x = 3 and x = 1 5.5.3: Identifying the Average Rate of Change

  6. Use the average rate of change formula Average rate of change formula Substitute 1 for a and 3 for b. Substitute the values for f(3) and f(1). Simplify. 5.5.3: Identifying the Average Rate of Change

  7. You Try. Use the graph of the function at right to calculate the average rate of change between x = –3 and x = –2. 5.5.3: Identifying the Average Rate of Change

  8. Thanks for Watching! Ms. Dambreville

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