Exam I Review Topics 1 2 3 4 5 Points on a Line Absolute Value Solving Absolute Value Equations Inequalities Solving Equations and Inequalitieis Interval Notation Cartesian Coordinates Points in Plane Distance Between Points Mid Point of a Line Segment Equations of Circles 6 ExI 1 ExI 1 ExI 1 1 1 41 Equations of Lines Slope of a Line Equation of Line through a Point x 0 y 0 with Slope m Parallel and Perpendicular Lines Solving for the Intersection Set of Two Lines Functions Domain of a Function Functional Notation Vertical Line Test Composition of Two Functions Graphs of Functions Even Odd Functions Special Values of Trig Functions Inverse of Function Definition of the Inverse Horizontal Line Test Solving Algebraically for the Inverse Function Graphing the Inverse Function Functional Relationships between a Function and its Inverse f 1 f x x ExI 2 1 1 21 1 1 26 ExI 1 1 2 12 1 2 14 ExI 3 1 2 35 ExI 4 1 3 6 ExI 4 1 3 35 1 3 29 1 1 44 ExI 5 1 4 15 ExI 5 1 4 34 f f 1 x x Inverse Trig Functions Domain Restrictions for Sine Cosine Tangent Graph of Inverse Sine Inverse Cosine Inverse Tangent Functional Relationships ExI 6 ExI 7 1 4 25 1 4 41 7 8 Limit of a Function Estimating Limit Tabular Approach Graphical Approach One Side Limit 2 1 21 2 1 35 ExI 8 2 1 1 6 ExI 8 2 1 1 6 Algebraic Computation of Limits Basic Properties and Rules Limits of Polynomials Limits of Rational Expressions via Algebraic Reduction Limits of Trig Functions Special Limits lim x 0 sin x x 1 cos x x 0 x lim ExI 9 2 2 1 3 ExI 9 2 2 11 14 2 2 7 9 ExI 9 2 2 21 25 Sandwich Squeeze Rule 9 Continuity Definition of Continuity at a Point Properties of Continuous Functions One Side Continuity at a Point Continuity on an Interval Max Min Theorem Intermediate Value Theorem 2 3 15 16 2 3 23 24 2 3 27 28
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