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Question 696967: I'm so lost on this problem..if you could please show me I just do not understand!
Given the function f(x)=x^3-x
A. Find the rate of change between the two stated values for x: 1 and 2
B. find the equation of a secant line containing the given points: (1,f(1)) and (2,f(2))
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given the function f(x)=x^3-x
A. Find the rate of change between the two stated values for x: 1 and 2
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That is the slope between x = 1 and x = 2:
f(1) = 1-1 =0 ; f(2) = 8-2 = 6
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slope = (6-0)/(2-1) = 6
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B. find the equation of a secant line containing the given points: (1,f(1)) and (2,f(2))
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Form: Y = mx + b
You know m = 6 and y = 0 when x = 1
0 = 6*1 + b
b = -6
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Equation:
y = 6x -6
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Cheers,
Stan H.
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