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Chapter 1 Functions and Models 1.1 Mathematical Models: A Catalog of Essential Functions A mathematical model is a description of a real-world phenomenon such as the size of a population. Linear Models y = mx+b where m is the slope and b is the y-intercept Polynomials A function P is called a polynomial if P(x) = an-1xn-1 + a2x2 + a1x + a0 Rational Function A rational functionf is a ratio of two polynomials f(x) = P(x) / Q(x) Algebraic Functions A function of f is an algebraic function if it can be constructed using algebraic operations f(x) = (x2 + 1) ---> square root Trigonometric Functions -1 is less than or equal to -sin(x) is less then or to 1 -1 is less than or equal to cos(x) is less then or to 1 sin(x + 2pi) = sin x cos(x + 2pi) = cos x

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