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#1 2024-03-28 10:52:41

nycguitarguy
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 574

Difference Quotient of f

The slope of the secant line containing the two points
(x, f(x)) and (x + h, f(x + h)) on the graph of a function y = f(x) may be given as

m_sec = [f(x + h) - f(x)]/[(x + h) - x] which leads to [f(x + h) - f(x)]/h, where h cannot = 0.

Express the slope of the secant line for the function f(x) = -3x + 2 in terms of x and h. Be sure to simplify.


Let me see.


f (x) = [-3(x + h) + 2 - (-3x + 2)]/h


f(x) = (-3x - 3h + 2 + 3x - 2)/h


f(x) = -3h/h


f(x) = -3


You say?


The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah

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#2 2024-03-28 20:33:41

Bob
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Registered: 2010-06-20
Posts: 10,216

Re: Difference Quotient of f

correct.

B


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#3 2024-03-29 08:05:47

nycguitarguy
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 574

Re: Difference Quotient of f

Bob wrote:

correct.

B

Very good. Thank you.


The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah

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