Thanks!

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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we have to apply this formula: \[\Large \frac{{f\left( 7 \right) - f\left( 4 \right)}}{{7 - 4}}\]
\[\frac{ f(3) }{ 3}\] So it would be?
no, you have to substitute the expression of your function, like below: \[\large \begin{gathered} \frac{{f\left( 7 \right) - f\left( 4 \right)}}{{7 - 4}} = \hfill \\ \hfill \\ = \frac{{\left( {2 \times {7^2} - 16 \times 7 + 57} \right) - \left( {2 \times {4^2} - 16 \times 4 + 57} \right)}}{3} \hfill \\ \end{gathered} \]

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Would the average rate of change be 6?
So I had to plug in 4 and 4 into the original equation, then subtract them from each other and divide it by 3?
I meant plug in 7 and 4
you have to plug in 7 and 4, so, the next step is: \[\large \begin{gathered} \frac{{f\left( 7 \right) - f\left( 4 \right)}}{{7 - 4}} = \hfill \\ \hfill \\ = \frac{{\left( {2 \times {7^2} - 16 \times 7 + 57} \right) - \left( {2 \times {4^2} - 16 \times 4 + 57} \right)}}{3} = \hfill \\ \hfill \\ = \frac{{ - 14 + 32}}{3} = ...? \hfill \\ \end{gathered} \]
\[\frac{ 18 }{ 3}\] Then simplified to 6?
that's right!
Thank you!!
:)

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