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GUIDED NOTES Lesson 23Average Rate of ChangeName: ___ Period: ___Objective: I will find the rate of change of a quadratic function. I can write and solve application problems using quadratic functions.The
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01
To fill out the average rate of change, follow these steps:
02
Identify the initial value (x1) and final value (x2) of the variable in question.
03
Calculate the corresponding initial value of the function (y1) and final value of the function (y2).
04
Determine the change in the x-values, Δx = x2 - x1.
05
Calculate the change in the y-values, Δy = y2 - y1.
06
Divide the change in y-values by the change in x-values to find the average rate of change: (Δy / Δx).

Who needs average rate of change?

01
Average rate of change is a concept used in mathematics, specifically in calculus and algebra. It is needed by students and professionals in fields such as physics, economics, engineering, and finance. Calculating the average rate of change helps in analyzing the rate at which a quantity is changing over a specific interval, which is useful in determining trends, rates of growth, and making predictions.

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The average rate of change is a measure used in mathematics to describe how a function changes on average over a certain interval. It is calculated by taking the difference in the values of the function at two points and dividing it by the difference in the input values.
Individuals or businesses that are subject to certain tax regulations requiring the reporting of their income changes over a specific period may be required to file an average rate of change.
To fill out the average rate of change form, gather the necessary data including the initial and final values of the function and the corresponding input values. Calculate the difference in values and divide it by the difference in input values, then enter this information on the form as instructed.
The purpose of the average rate of change is to provide a simple way to understand how a quantity is changing over a specified interval. It allows for comparisons of performance or growth over time.
The information that must be reported includes the initial and final values of the function being evaluated, the time period for which the change is being measured, and the calculated average rate of change.
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