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Unformatted text preview: Linear Functions Definition A linear function is a function defined by an equation of the form f(x) = Ax + B, where A, B are constants. Comments The graph of a linear function is a non vertical straight line. The line can NOT be vertical since we are talking about a function. We could have use the slopeintercept form of the equation of a line to defined a linear function: f(x) = mx + b Example Suppose that f is a linear function and that f(1) = 3, f(2) = 7. Find an equation for f . Need: slope and point Have: (1, 3) and (2, 7) 3 4 3 4 1 2 3 7 = = = m ) 1 ( 3 4 3 = x y 3 13 3 4 + = x y 3 13 3 4 ) ( + = x x f Example A manufacturer buys a machine for $120,000. It is estimated that the machine has a useful lifetime of ten years and a salvage value of $4,000 at that time. Assuming linear depreciation, find the value of the...
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This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.
 Fall '08
 GARDNER
 Calculus, PreCalculus

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