Answered: Y=3x^3-2x^2-8, [-6,-4] find the Average…

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Y=3x^3-2x^2-8, [-6,-4] find the Average rate

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.2: Writing Equations In Standard And Point-slope Forms

Problem 3AGP

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Question

Y=3x^3-2x^2-8, [-6,-4] find the Average rate

Expert Solution

Step 1

Given data:

*The given function is,

$Y = 3 x^{3} - 2 x^{2} - 8$

*The interval of the function is [-6,-4]

The average rate of the function is given by:

$\begin{array}{rcl} ∆_{a v g} & = & \frac{∆ Y}{∆ X} \\ = & \frac{Y (- 6) - Y (- 4)}{- 6 - (- 4)} \end{array}$

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