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
5.1 Composite Functions 5.2 One-to-one Functions; Inverse Functions 5.3 Exponential Functions 5.4 Logarithmic Functions 5.5 Properties Of Logarithms 5.6 Logarithmic And Exponential Equations 5.7 Financial Models 5.8 Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay Models 5.9 Building Exponential, Logarithmic, And Logistic Models From Data Chapter Questions expand_more
Problem 1RE: Evaluate each expression using the graphs of y=f( x ) and y=g( x ) shown in the figure. (a) ( gf )(... Problem 2RE: In Problems 2 4, for the given functions f and g find: (a) ( fg )( 2 ) (b) ( gf )( 2 ) (c) ( ff )( 4... Problem 3RE: In Problems 2 4, for the given functions f and g find: (a) ( fg )( 2 ) (b) ( gf )( 2 ) (c) ( ff )( 4... Problem 4RE: In Problems 2 4, for the given functions f and g find: (a) ( fg )( 2 ) (b) ( gf )( 2 ) (c) ( ff )( 4... Problem 5RE: In Problems 5-7, find fg,gf,ff, and gg for each pair of functions. State the domain of each... Problem 6RE: In Problems 5-7, find fg,gf,ff, and gg for each pair of functions. State the domain of each... Problem 7RE: In Problems 5-7, find fg,gf,ff, and gg for each pair of functions. State the domain of each... Problem 8RE: In Problem 8, (a) verify that the function is one-to-one, and (b) find the inverse of the given... Problem 9RE: In Problem 9, state why the graph of the function is one-to-one. Then draw the graph of the inverse... Problem 10RE: In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your... Problem 11RE: In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your... Problem 12RE: In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your... Problem 13RE: In Problems 10-13, the function f is one-to-one. Find the inverse of each function and check your... Problem 14RE: In Problem 14, f( x ) =3 x andg( x ) =log 3 x Evaluate: (a) f( 4 ) (b) g( 9 ) (c) f( 2 ) (d) g( 1 27... Problem 15RE: Convert 5 2 =z to an equivalent statement involving a logarithm. Problem 16RE: Convert log 5 u13 to an equivalent statement involving an exponent. Problem 17RE: In Problems 17 and 18, find the domain of each logarithmic function. f( x )=log(3x2) Problem 18RE: In Problems 17 and 18, find the domain of each logarithmic function. H( x )= log 2 ( x 2 3x+2) Problem 19RE: In Problems 19-21, evaluate each expression. Do not use a calculator. log 2 ( 1 8 ) Problem 20RE Problem 21RE: In Problems 19-21, evaluate each expression. Do not use a calculator. 2 log 2 0.4 Problem 22RE: In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers... Problem 23RE: In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers... Problem 24RE: In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers... Problem 25RE: In Problems 22-25, write each expression as the sum and/or difference of logarithms. Express powers... Problem 26RE: In Problems 26-28, write each expression as a single logarithm. 3 log 4 x 2 + 1 2 log 4 x Problem 27RE: In Problems 26-28, write each expression as a single logarithm. ln( x1 x )+ln( x x+1 )ln( x 2 1 ) Problem 28RE: In Problems 26-28, write each expression as a single logarithm. 1 2 ln( x 2 +1 )4ln 1 2 1 2 [ ln(... Problem 29RE: Use the Change-of-Base Formula and a calculator to evaluate log 4 19 . Round your answer to three... Problem 30RE: Graph y= log 3 x using a graphing utility and the Change-of-Base Formula. Problem 31RE: In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the... Problem 32RE: In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the... Problem 33RE: In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the... Problem 34RE: In Problems 31-34, use the given function f to: (a) Find the domain of f .(b) Graph f .(c) From the... Problem 35RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 36RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 37RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 38RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 39RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 40RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 41RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 42RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 43RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 44RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 45RE: In Problems 35-45, solve each equation. Express irrational solutions in exact form and as a decimal... Problem 46RE: Suppose that f( x )= log 2 (x2)+1 . (a) Graph f (b) What is f( 6 ) ? What point is on the graph of f... Problem 47RE: Amplifying Sound An amplifier’s power output P (in watts) is related to its decibel voltage gain d... Problem 48RE: Limiting Magnitude of a Telescope A telescope is limited in its usefulness by the brightness of the... Problem 49RE: Salvage Value The number of years n for a piece of machinery to depreciate to a known salvage value... Problem 50RE: Funding a College Education A child's grandparents purchase a 10,000 bond fund that matures in 18... Problem 51RE: Funding a College Education A child's grandparents wish to purchase a bond that matures in 18 years... Problem 52RE: Estimating the Dale That a Prehistoric Man Died The bones of a prehistoric man found in the desert... Problem 53RE: Temperature of a Skillet A skillet is removed from an oven whose temperature is 450F and placed in a... Problem 54RE: World Population The annual growth rate of the world's population in 2015 was k=1.08=0.0108 . The... Problem 55RE: Radioactive Decay The half-life of cobalt is 5.27 years. If 100 grams of radioactive cobalt is... Problem 56RE: Logistic Growth The logistic growth model Pt= 0.8 1+1.67 e 0.16t represents the proportion of new... Problem 57RE: Rising Tuition The following data represent the average in-state tuition and fees (in 2013 dollars)... Problem 58RE: Wind Chill Factor the following data represent the wind speed (mph) and wind chill factor at an air... Problem 59RE: Spreading of a Disease Jack and Diane live in a small town of 50 people. Unfortunately, both Jack... Problem 1CT Problem 2CT Problem 3CT Problem 4CT Problem 5CT Problem 6CT Problem 7CT Problem 8CT Problem 9CT Problem 10CT Problem 11CT Problem 12CT Problem 13CT Problem 14CT Problem 15CT Problem 16CT Problem 17CT Problem 18CT Problem 19CT Problem 20CT Problem 21CT Problem 22CT Problem 23CT Problem 1CR Problem 2CR Problem 3CR Problem 4CR Problem 5CR Problem 6CR Problem 7CR Problem 8CR Problem 9CR Problem 10CR Problem 11CR Problem 12CR Problem 13CR Problem 14CR Problem 15CR Problem 16CR format_list_bulleted