R Review Of Prerequisites 1 Equations And Inequalities 2 Functions And Relations 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Trigonometric Functions 6 Analytic Trigonometry 7 Applications Of Trigonometric Functions 8 Trigonometry Applied To Polar Coordinate Systems And Vectors 9 Systems Of Equations And Inequalities 10 Matrices And Determinants And Applications 11 Analytic Geometry 12 sequences, Series, Induction, And Probability expand_more
3.1 Quadratic Functions And Applications 3.2 Introduction To Polynomial Functions 3.3 Division Of Polynomials And The Remainder And Factor Theorems 3.4 Zeros Of Polynomials 3.5 Rational Functions 3.6 Polynomial And Rational Inequalities 3.7 Variation Chapter Questions expand_more
Problem R.1PE: For Exercises R.1-R.3, simplify the expression and state the restrictions on the variable.... Problem R.2PE Problem R.3PE Problem 1PE: The domain of a rational function defined by f(x)=p(x)q(x) is all real numbers excluding the zeros... Problem 2PE Problem 3PE Problem 4PE Problem 5PE Problem 6PE Problem 7PE: For Exercises 7-12, write the domain of the function in interval notation. f(x)=x225x5 Problem 8PE Problem 9PE: For Exercises 7-12, write the domain of the function in interval notation. r(x)=2x34x2+3x1 Problem 10PE Problem 11PE: For Exercises 7-12, write the domain of the function in interval notation. h(x)=18xx2+100 Problem 12PE Problem 13PE: For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1)... Problem 14PE: For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1)... Problem 15PE: For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1)... Problem 16PE: For Exercises 13-16, refer to the graph of the function and complete the statement. (See Example 1)... Problem 17PE: For Exercises 17-24, determine the vertical asymptotes of the graph of the function. (See Example 2)... Problem 18PE Problem 19PE Problem 20PE Problem 21PE: For Exercises 17-24, determine the vertical asymptotes of the graph of the function. (See Example 2)... Problem 22PE Problem 23PE Problem 24PE: For Exercises 17-24, determine the vertical asymptotes of the graph of the function. (See Example 2)... Problem 25PE Problem 26PE Problem 27PE Problem 28PE Problem 29PE: For Exercises 29-36, a. Identify the horizontal asymptotes (if any). (See Example 3) b. If the graph... Problem 30PE Problem 31PE: For Exercises 29-36, a. Identify the horizontal asymptotes (if any). (See Example 3) b. If the graph... Problem 32PE Problem 33PE: For Exercises 29-36, a. Identify the horizontal asymptotes (if any). (See Example 3) b. If the graph... Problem 34PE Problem 35PE: For Exercises 29-36, a. Identify the horizontal asymptotes (if any). (See Example 3) b. If the graph... Problem 36PE Problem 37PE Problem 38PE Problem 39PE Problem 40PE Problem 41PE: For Exercises 39-48, identify the asymptotes. (See Example 5) h(x)=3x2+4x5x+6 Problem 42PE Problem 43PE Problem 44PE Problem 45PE Problem 46PE Problem 47PE Problem 48PE Problem 49PE: For Exercises 49-56, graph the functions by using transformations of the graphs of y=1x and y=1x2 .... Problem 50PE Problem 51PE: For Exercises 49-56, graph the functions by using transformations of the graphs of y=1x and y=1x2 .... Problem 52PE Problem 53PE: For Exercises 49-56, graph the functions by using transformations of the graphs of y=1x and y=1x2 .... Problem 54PE Problem 55PE: For Exercises 49-56, graph the functions by using transformations of the graphs of y=1x and y=1x2 .... Problem 56PE Problem 57PE: For Exercises 57-62, for the graph of y=f(x) , a. Identify the x-intercepts. b. Identify any... Problem 58PE Problem 59PE: For Exercises 57-62, for the graph of y=f(x) , a. Identify the x-intercepts. b. Identify any... Problem 60PE Problem 61PE Problem 62PE Problem 63PE Problem 64PE Problem 65PE: For Exercises 63-66, sketch a rational function subject to the given conditions. Answers may vary.... Problem 66PE Problem 67PE Problem 68PE Problem 69PE: For Exercises 67-90, graph the function. (See Examples 7-10) f(x)=x4x2 Problem 70PE Problem 71PE Problem 72PE Problem 73PE: For Exercises 67-90, graph the function. (See Examples 7-10) p(x)=6x29 Problem 74PE Problem 75PE Problem 76PE Problem 77PE: For Exercises 67-90, graph the function. (See Examples 7-10) k(x)=5x32x7 Problem 78PE Problem 79PE: For Exercises 67-90, graph the function. (See Examples 7-10) g(x)=3x25x2x2+1 Problem 80PE Problem 81PE Problem 82PE Problem 83PE: For Exercises 67-90, graph the function. (See Examples 7-10) f(x)=x2+7x+10x+3 Problem 84PE Problem 85PE Problem 86PE Problem 87PE Problem 88PE Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE: The concentration C(t) (in milligrams per liters mg/L of a drug in the bloodstream t hours after the... Problem 96PE: A certain diet pill is designed to delay the administration of the active ingredient for several... Problem 97PE Problem 98PE Problem 99PE Problem 100PE: The Doppler effect is a change in the observed frequency of a wave (such as a sound wave or light... Problem 101PE Problem 102PE Problem 103PE: For Exercises 103-104, given y=f(x) , a. Divide the numerator by the denominator to write f(x) in... Problem 104PE Problem 105PE: Explain why x=2 is not a vertical asymptote of the graph of f(x)=x2+7x+10x+2 . Problem 106PE Problem 107PE: For Exercises 107-110, write an equation of a function that meets the given conditions. Answers may... Problem 108PE Problem 109PE Problem 110PE Problem 111PE: The rational functions studied in this section all have the characteristic that the numerator and... Problem 112PE Problem 113PE: The rational functions studied in this section all have the characteristic that the numerator and... Problem 114PE format_list_bulleted