MATH 180 Study Guide - Final Guide: Quotient Rule, Power Rule, Product Rule

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13 Dec 2018
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Solution: the slope of the line that goes through the points (1, 2) and (4, 4) is: Using the slope above and the point (1, 2), we write an equation for the line as follows: m = y2 y1 x2 x1. 3 y y1 = m(x x1) (x 1) y 2 = Therefore, the linear function is f (x) = The value of f (7) is: f (7) = Problem 2 solution: find lim x 2 x2 3x + 2 x2 x 2. Solution: when substituting x = 2 into the function f (x) = x2 3x + 2 x2 x 2 we nd that x2 3x + 2 x2 x 2. We can resolve the indeterminacy by factoring. lim x 2 x2 3x + 2 x2 x 2. = lim x 2 (x 1)(x 2) (x + 1)(x 2) x 1 x + 1. Problem 3 solution: the graph of function f (x) is below.

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