1 Graphs 2 Functions And Their Graphs 3 Linear And Quadratic Functions 4 Polynomial And Rational Functions 5 Exponential And Logarithmic Functions 6 Trigonometric Functions 7 Analytic Trigonometry 8 Applications Of Trigonometric Functions 9 Polar Coordinates; Vectors 10 Analytic Geometry 11 Systems Of Equations And Inequalities 12 Sequences; Induction; The Binomial Theorem 13 Counting And Probability 14 A Preview Of Calculus: The Limit, Derivative, And Integral Of A Function A.1 Algebra Essentials A.10 Nth Roots; Rational Exponents A.2 Geometry Essentials A.3 Polynomials A.4 Synthetic Division A.5 Rational Expressions A.6 Solving Equations A.7 Complex Numbers; Quadratic Equations In The Complex Number System A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications A.9 Interval Notation; Solving Inequalities B The Limit Of A Sequence; Infinite Series expand_more
2.1 Functions 2.2 The Graph Of A Function 2.3 Properties Of Functions 2.4 Library Of Functions; Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2.6 Mathematical Models: Building Functions Chapter Questions expand_more
Problem 1RE: In Problems 1 and 2, determine whether each relation represents a function. For each function, state... Problem 2RE Problem 3RE: In Problems 3-5, find the following for each function. (a) f( 2 ) (b) f( 2 ) (c) f( x ) (d) f( x )... Problem 4RE: In Problems 3-5, find the following for each function. (a) f( 2 ) (b) f( 2 ) (c) f( x ) (d) f( x )... Problem 5RE: In Problems 3-5, find the following for each function. (a) f( 2 ) (b) f( 2 ) (c) f( x ) (d) f( x )... Problem 6RE: In Problems 6-11, find the domain of each function. f( x )= x x 2 9 Problem 7RE: In Problems 6-11, find the domain of each function. f( x )= 2x Problem 8RE: In Problems 6-11, find the domain of each function. g( x )= | x | x Problem 9RE: In Problems 6-11, find the domain of each function. f( x )= x x 2 +2x3 Problem 10RE: In Problems 6-11, find the domain of each function. f( x )= x+1 x 2 4 Problem 11RE: In Problems 6-11, find the domain of each function. g( x )= x x+8 Problem 12RE: In Problems 12-14, find f+g,fg,fg,and f g for each pair of functions. State the domain of each of... Problem 13RE Problem 14RE Problem 15RE: Find the difference quotient of f( x )=2 x 2 +x+1 ; that is, find f( x+h )f( x ) h ,h0 . Problem 16RE: Consider the graph of the function f on the right. (a) Find the domain and the range of f . (b) List... Problem 17RE: Use the graph of the function f shown to find: (a) The domain and the range of f . (b) The intervals... Problem 18RE: In Problems 18-21, determine (algebraically) whether the given function is even, odd, or neither. f(... Problem 19RE Problem 20RE Problem 21RE Problem 22RE: In Problems 22 and 23, use a graphing utility to graph each function over the indicated interval.... Problem 23RE: In Problems 22 and 23, use a graphing utility to graph each function over the indicated interval.... Problem 24RE: Find the average rate of change of f( x )=8 x 2 x : (a) From 1 to 2 (b) From 0 to 1 (c) From 2 to 4 Problem 25RE Problem 26RE Problem 27RE: In Problems 27 and 28, is the graph shown the graph of a function? Problem 28RE: In Problems 27 and 28, is the graph shown the graph of a function? Problem 29RE: In Problems 29 and 30, graph each function. Be sure to label at least three points. f( x )=| x | Problem 30RE: In Problems 29 and 30, graph each function. Be sure to label at least three points. f( x )=| x | Problem 31RE: In Problems 31-36, graph each function using the techniques of shifting, compressing or stretching,... Problem 32RE: In Problems 31-36, graph each function using the techniques of shifting, compressing or stretching,... Problem 33RE Problem 34RE Problem 35RE Problem 36RE Problem 37RE: In Problems 37 and 38: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph... Problem 38RE Problem 39RE: A function f is defined by f( x )= Ax+5 6x2 If f( x )=4 , find A . Problem 40RE Problem 41RE Problem 1CT Problem 2CT Problem 3CT Problem 4CT Problem 5CT Problem 6CT Problem 7CT Problem 8CT Problem 1CR: In Problems 1-6, find the real solutions of each equation. 3x8=10 Problem 2CR Problem 3CR Problem 4CR: In Problems 1-6, find the real solutions of each equation. 6 x 2 5x+1=0 Problem 5CR Problem 6CR Problem 7CR: In Problems 7-9, solve each ineQuality. Graph the solution set. 23x6 Problem 8CR Problem 9CR Problem 10CR Problem 11CR Problem 12CR Problem 13CR Problem 14CR Problem 15CR Problem 16CR Problem 17CR Problem 18CR Problem 19CR format_list_bulleted