Question
Asked Feb 23, 2019
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Find the slope of the secant line between x=1 and x=2 on the graph of the function f(x)=x34x2+5x.

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Expert Answer

Step 1

The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 + 5x is calculated as follows.

The slope of the secant line between the points (x1, f(x1)) and (x2, f(x2)) is same as the average rate of change.

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Step 2

Consider the points x1 = 1 and x2 = 2.

Substitute x = −1 in f(x) = x3 − 4x2 + 5x to find the value of f(x1) as.

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Step 3

Substitute x = 2 in f(x) = x3 − 4x2 + 5x to find the value of f(x2)...

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Calculus

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