Question:

AP Calculus AB Semester 1 Study Guide You should know... 1] 2) 3] 4) 5) 6] 7] 8] 9] 10] 11] 12] 13] 14] 15] 16] 17] 18] 19] 20] 21] 22] 23] 24] 25) 26] 27) 28) 29] 30] 31] 32] 33] 34) 35) 36] 37) 38] 39) 40] 41] 42] 43] 44] 45) The formula for a finding a secant line. The concept of a "limit". How to nd a limit numerically. The 3 conditions that need to be met for a limit to exist. The 4 approaches to problem solving. The 3 conditions where a limit fails to exist. The concept of a "well-behaved" function. The 3 basic types of algebraic functions. At least three techniques for finding limits. The indeterminate form of a function and when it occurs. The three "special" limits. The general concept of the \"squeeze theorem". The 3 conditions that need to be met for continuity. The concept of \"continuous\". The concept of "everywhere continuous". The 3 types of discontinuity. The concept of a "removable discontinuity". The concept of a \"non-removable discontinuity\". The concept of a "one-sided limit". How the greatest integer function works. The concept of an "open interval" [and symbols]. The concept of a "closed interval" (and symbols]. The 5 types of functions which are continuous at every point in their domain. The concept of "The Intermediate Value Theorem\". The concept of a "vertical asymptote". What type of functions can produce vertical asymptotes. How to determine the difference between when a hole exists and a vertical asymptote exists. The concept of limits at innity. The concept of "limits at infinity". The concept of a \"horizontal asymptote\". The 3 test conditions for determining horizontal asymptotes. The symbolic definition of the derivative of a function [you should be able to state it verbatim). Be able to identify the difference quotient part of the derivative of a function. The concept of \"differentiation\". The concept of \"differentiable". The 3 cases where a derivative fails to exist. The 3 primary notations for a derivative. How to use The Constant Rule. How to use The Power Rule. How to use The Constant Multiple Rule. How to use The Sum and Difference Rules. The derivatives of the trigonometric functions. The relationship between the position function, velocity function and the acceleration function. The velocity/acceleration sign chart. How to nd average velocity