looking for the last 6 pages of this section 2.1 2.2 filled in notes

Calculus Lecture Notes Chapter 2 Page 1 of 7 Section 2.1 - Functions and Their Graphs A function is a rule that assigns to each element in set A one and only one element in a set B. The set A is called the domain _ of the function. The set consisting of all the values by y = f(x) as x takes on all possible values in its domain is called the _ range _ of the function f The variable x is called the _independent variable The variable y, whose value depends on x, is called the dependent variable Example 1: Let the function f be defined by the rule g(x) = 3x2 - 6x - 3. Find: a) g(0) b) g(-1) c) g(a) d) g(a + 1) = 3(0) 2 -6(0)-3 = 3(-1)" - 6(-1)-3 = 3 (a ) -6(a) -3 = 3 (a+ 1 )" - 6 (a+ 1 ) - 3 0 -0 -3 = 3 .1 +6 -3 = 3a2 -60-3 = 3 (a+1)(a+1) - 6(a+1)-3 = 3+6-3 = 1 = 3 (a"+20+1) -6a-6-3 = 6 = 302 + ba +3 - ba-6-8 392- 6 Example 2: In a certain state, the sales tax T on the amount of taxable goods is (9.5%) of the value of the goods purchased x, where T and x are measured in dollars. a) Express T as a function of x. T ( x) = 0.095x b) Using the function in part (a), find T(200) T (200 ) = 0.095(200) $ 19 Choi Ver. 1