MATH 119A Chapter Notes - Chapter 1.1: Piecewise, Even And Odd Functions

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Functions arise whenever one quantity depends on another. The rule that connects r and a is given by the equation a= value of a, and we say that a is a function of r. r 2. With each positive number r there is associated one: the human population of the world p depends on the time t. table 1 gives estimates of the world population p(t) at time t, for certain years. But for each value of the time t there is a corresponding value of p, and we say that p is a function of t. Each of these examples describe a rue whereby, given a number (r,t,w, or t), another number (a,p,c,or v) is assigned, in each case we say that the second number is the function of the first number. We usually consider functions for which the sets d and e are sets of real numbers. The set d is called the domain of the function.

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