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For the function f(x) = x^2 - x, what is (f(3) - f(2))/(3 - 2).

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lkballer24 | Student, Grade 11 | (Level 1) Valedictorian

Posted August 12, 2013 at 5:16 PM via web

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For the function f(x) = x^2 - x, what is (f(3) - f(2))/(3 - 2).

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 12, 2013 at 5:26 PM (Answer #1)

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The function f(x) is defined as y = f(x) = x^2 - x.

The slope of a line joining two points `(x_1, y_1)` and `(x_2, y_2)` is given by `(y_2 - y_1)/(x_2 - x_1)` .

The expression `(f(3) - f(2))/(3 - 2)` is the slope of the line joining the point where x = 3 and the point where x = 2.

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