MATH 2A Lecture Notes - Lecture 2: Algebraic Function, Cube Root, Logarithm
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Math 2a - lecture 2 - mathematical models and different types of functions. A mathematical model is a mathematical description (often by means of function) or (equations) of a real-world phenomenon. Concentration of a product in a chemical reaction. Life expectancy of a person at birth. The graph of the function is a line and it follows the following format: A function f is called polynomial if: n 2 + . + a2 x n 1 + an 2 x n + an 1 x (x) x. = 2 6 x4 + 5 x. There are two famous types of polynomials. , where a is a constant is called a power function. Depending on the value of a we can have different shapes for power functions. = x (x) f: a = n and is a positive integer, a=1/n where n is a positive integer. Y = x y = 3 x root 3 or cube root: a=-1, y=1/x.