MATH 1007 Lecture Notes - Lecture 1: If And Only If, Linear Density, Linear Function
18 Jan 2015
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1. 1 four ways to represent a function . 2. 3 calculating the limits using the limit laws . 4. 3 how derivatives a ect the shape of a graph 35. 5. 4 inde nite integrals and the net change the- orem . Example: f (x) = x2 is not a function. 3x, x > 0: odd functions: f ( x) = f (x); even functions: f ( x) = f (x). 1. 2 essential functions: algebraic function: functions using algebraic operations (+, -, x,division and taking roots) starting with polynomials. Power function: f (x) = kxp, where k (cid:54)= 0 and p are constants. Domain of f (x) = x1/2: {x 0}; Domain of f (x) = x 1/2: {x > 0}; Domain of f (x) = x 1/3: {x (cid:54)= 0}. Polynomials p (x) = anxn + an 1xn 1 + + a1x + a0, where n is a positive integer (which is called the degree of p (x)).
