PSDT Prerequisite Skills Diagnostic Test R Functions, Graphs, And Models 1 Differentiation 2 Exponential And Logarithmic Functions 3 Applications Of Differentiation 4 Integration 5 Applications Of Integration 6 Functions Of Several Variables CR Cumulative Review A Review Of Basic Algebra B Indeterminate Forms And L’hôpital’s Rule C Regression And Microsoft Excel D Areas For A Standard Normal Distribution E Using Tables Of Integration Formulas expand_more
R.1 Graphs And Equations R.2 Functions And Models R.3 Finding Domain And Range R.4 Slope And Linear Functions R.5 Nonlinear Functions And Models R.6 Exponential And Logarithmic Functions R.7 Mathematical Modeling And Curve Fitting Chapter Questions expand_more
Problem 1E: Graph each pair of equations on one set of axes, and state the domain of each equation. 1. y=14x2... Problem 2E Problem 3E: Graph each pair of equations on one set of axes, and state the domain of each equation. 3. y=x2 and... Problem 4E: Graph each pair of equations on one set of axes, and state the domain of each equation. 4. y=x2 and... Problem 5E: Graph each pair of equations on one set of axes, and state the domain of each equation. 5. y=3x2 and... Problem 6E: Graph each pair of equations on one set of axes, and state the domain of each equation. 6. y=2x2 and... Problem 7E: Graph each pair of equations on one set of axes, and state the domain of each equation. 7. y=x and... Problem 8E: Graph each pair of equations on one set of axes, and state the domain of each equation. 8. y=x and... Problem 9E Problem 10E: Graph each pair of equations on one set of axes, and state the domain of each equation. 10. y=x and... Problem 11E: Graph each pair of equations on one set of axes, and state the domain of each equation. 11. y=x3 and... Problem 12E: Graph each pair of equations on one set of axes, and state the domain of each equation. 12. y=x3 and... Problem 13E: Graph each pair of equations on one set of axes, and state the domain of each equation. 13. y=x and... Problem 14E Problem 15E: Graph each pair of equations on one set of axes, and state the domain of each equation. 15. y=x and... Problem 16E Problem 17E: For each of the following quadratic functions, (a) find the vertex and the line of symmetry, (b)... Problem 18E Problem 19E Problem 20E: For each of the following quadratic functions, (a) find the vertex and the line of symmetry, (b)... Problem 21E: For each of the following quadratic functions, (a) find the vertex and the line of symmetry, (b)... Problem 22E: For each of the following quadratic functions, (a) find the vertex and the line of symmetry, (b)... Problem 23E: For each of the following quadratic functions, (a) find the vertex and the line of symmetry, (b)... Problem 24E Problem 25E Problem 26E Problem 27E: Graph, and state the domain using interval notation. 27. y=2x Problem 28E Problem 29E: Graph, and state the domain using interval notation. 29. y=1x1 Problem 30E: Graph, and state the domain using interval notation. 30. y=1x2 Problem 31E: Graph, and state the domain using interval notation. 31. y=x3 Problem 32E: Graph, and state the domain using interval notation. 32. y=1x Problem 33E: Graph, and state the domain using interval notation. 33. g(x)=x2+7x+10x+2 Problem 34E Problem 35E: Solve. x22x=2 Problem 36E: Solve. x22x+1=5 Problem 37E: Solve.
47.
Problem 38E: Solve. x2+4x=3 Problem 39E: Solve. 4x2=4x+1 Problem 40E: Solve.
50.
Problem 41E: Solve. 3y2+8y+2=0 Problem 42E: Solve. 2p25p=1 Problem 43E: Solve. x+7+9x=0 (Hint: Multiply both sides by x). Problem 44E: Solve. 11w=1w2 Problem 45E: Rewrite each of the following as an equivalent expression using radical notation.
55.
Problem 46E Problem 47E: Rewrite each of the following as an equivalent expression using radical notation. y2/3 Problem 48E: Rewrite each of the following as an equivalent expression using radical notation. t2/5 Problem 49E: Rewrite each of the following as an equivalent expression using radical notation. t2/5 Problem 50E: Rewrite each of the following as an equivalent expression using radical notation. y2/3 Problem 51E: Rewrite each of the following as an equivalent expression using radical notation. b1/3 Problem 52E: Rewrite each of the following as an equivalent expression using radical notation.
62.
Problem 53E: Rewrite each of the following as an equivalent expression using radical notation. (x23)1/2 Problem 54E: Rewrite each of the following as an equivalent expression using radical notation. (y2+7)1/4 Problem 55E: Rewrite each of the following as an equivalent expression with rational exponents. 55. x3,x0 Problem 56E Problem 57E: Rewrite each of the following as an equivalent expression with rational exponents. a35 Problem 58E: Rewrite each of the following as an equivalent expression with rational exponents. b24,b0 Problem 59E: Rewrite each of the following as an equivalent expression with rational exponents. x124,x0 Problem 60E: Rewrite each of the following as an equivalent expression with rational exponents.
70.
Problem 61E: Rewrite each of the following as an equivalent expression with rational exponents. 61. 1t5,t0 Problem 62E Problem 63E: Rewrite each of the following as an equivalent expression with rational exponents.
71.
Problem 64E: Rewrite each of the following as an equivalent expression with rational exponents.
74.
Problem 65E: Simplify.
75.
Problem 66E: Simplify.
76.
Problem 67E: Simplify.
77.
Problem 68E: Simplify. 82/3 Problem 69E: Determine the domain of each function. f(x)=x225x5 Problem 70E: Determine the domain of each function. f(x)=x24x+2 Problem 71E: Determine the domain of each function. f(x)=x3x25x+6 Problem 72E: Determine the domain of each function. f(x)=x4+7x2+6x+5 Problem 73E: Determine the domain of each function. f(x)=5x+4 Problem 74E: Determine the domain of each function. f(x)=2x6 Problem 75E: Determine the domain of each function.
85.
Problem 76E: Determine the domain of each function.
86.
Problem 77E Problem 78E Problem 79E Problem 80E: Find the equilibrium point for each pair of demand and supply functions. 80. Demand: p=4q; Supply:... Problem 81E: Find the equilibrium point for each pair of demand and supply functions. 81. Demand: p=(q3)2;... Problem 82E Problem 83E Problem 84E: Find the equilibrium point for each pair of demand and supply functions. 84. Demand: p=7q; Supply:... Problem 85E: 95. Price of admission. The number of tickets sold for a fund-raiser is inversely proportional to... Problem 86E: Demand. The quantity sold x of a high-definition TV is inversely proportional to the price p. If... Problem 87E: 97. Radar Range. The function given by
can be used to approximate the maximum range, , in miles,... Problem 88E: Find the equilibrium point for each pair of demand and supply functions. 88. Home range. Refer to... Problem 89E: 99. Life Science: pollution control. Pollution control has become an important concern worldwide.... Problem 90E: Surface area and mass. The surface area of a person whose mass is 75 kg can be approximated by... Problem 91E Problem 92E: At most, how many y-intercepts can a function have? Why? Problem 93E: What is the difference between a rational function and a polynomial function? Problem 94E Problem 95E Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E format_list_bulleted