Calc 1.1 - F(x)=x domain: all real numbers Linear...

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9/4/07 1. Functions and Change A function is a rule that takes certain numbers as inputs and assigns to each a definite output number. The set of all input numbers is called the domain of the function and the set of resulting output numbers is called the range of the function. F(student)=mother Domain: student Range: mother F= GUN Domain= BULLETS Range= TARGETS Independent Variable: input, domain Dependent Variable: output, range The set of numbers t such that a t b is written [a, b] ≤ ≤ The set of numbers t such that a < t < b is written (a, b) The Rule of Four: Tables Graphs Formulas: y intercept : y=mx+b
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Words If domain of a function is not specified: larges possible set of real numbers
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Unformatted text preview: F(x)=x domain: all real numbers Linear Functions: slope or rate of change is that same at every point Difference Quotients and Delta Notation Slope: m=rise/run= = = m riserun yx A function is increasing if the values of F(X) increase as x increases A function is decreasing if the values of F(X) decrease as x decreases Y is directly proportional to x if there is a nonzero constant k such that Y= kx This k is called the constant of proportionality Inversely proportional is one is proportional to the reciprocal of the other....
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This note was uploaded on 06/26/2008 for the course MATH 115 taught by Professor Blakelock during the Fall '08 term at University of Michigan.

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Calc 1.1 - F(x)=x domain: all real numbers Linear...

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