Average Rate of Change for f(x) = 5x^2 - 8x from x = -1 to 4

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Homework Help Overview

The discussion revolves around determining the average rate of change of the function f(x) = 5x^2 - 8x as x changes from -1 to 4. Participants are examining the correct formulation of the average rate of change calculation.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants attempt to apply the formula for average rate of change but express confusion regarding the correct denominator. There is a suggestion that the denominator should account for the change in x from -1 to 4.

Discussion Status

The discussion is ongoing, with participants identifying potential errors in the expression used for the average rate of change. Some guidance on the proper notation and parentheses usage has been provided, indicating a focus on clarity in mathematical expressions.

Contextual Notes

There is a noted concern about misinterpretation of the mathematical expression due to formatting, which may have contributed to the confusion regarding the calculation.

nesan
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Homework Statement



Consider the graph of the function f(x) = 5x^2 - 8x

Determine the average rate of change as x changes from -1 to 4


The Attempt at a Solution



f(4) - f(-1) / 4 - 1

The answer is not correct according to the answer sheet. :(
 
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nesan said:

Homework Statement



Consider the graph of the function f(x) = 5x^2 - 8x

Determine the average rate of change as x changes from -1 to 4


The Attempt at a Solution



f(4) - f(-1) / 4 - 1

The answer is not correct according to the answer sheet. :(

Shouldn't your denominator be 4-(-1)?
 
GOD, KILL ME!

:"(

Thank you. Such a stupid mistake.
 
In addition to what Dick said, you need more parentheses when you write out expressions like that in plain text.

f(4) - f(-1) / 4 - 1

This would be interpreted as f(4) - [itex]\frac{f(-1)}{4}[/itex] - 1
If you write it on a single line, do it like this: (f(4) - f(-1))/(4 - (-1)).
 

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