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

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) - \frac{f(-1)}{4} - 1
If you write it on a single line, do it like this: (f(4) - f(-1))/(4 - (-1)).
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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