SOLUTION: Find the average rate of change for f(x)= 4x² from 0 to 7/4
and the equation of the secant line containing (0, f(0)) and (7/4, f(7/4)). Please show all of your work.
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Question 464351: Find the average rate of change for f(x)= 4x² from 0 to 7/4
and the equation of the secant line containing (0, f(0)) and (7/4, f(7/4)). Please show all of your work.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the average rate of change for f(x)= 4x² from 0 to 7/4
and the equation of the secant line containing (0, f(0)) and (7/4, f(7/4)). Please show
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The average rate of change is the slope of the line joining the two points.
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slope = [f(7/4)-f(0)]/[(7/4)-0]
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f(7/4) = 4(7/4)^2 = 49/4
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slope = [(49/4)-0]/[7/4] = (49/4)/[7/4] = 7
=========================================
Equation of the line thru (0,0) and with slope = 7
---
Equation Form: y = mx + b
0 = 7*0 + b
b = 0
---
Equation of the secant: y = 7x
==================================
Cheers,
Stan H.
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