DPT Diagnostic Prerequisite Test 1 Functions And Graphs 2 Limits And The Derivative 3 Additional Derivative Topics 4 Graphing And Optimization 5 Integration 6 Additional Integration Topics 7 Multivariable Calculus 8 Trigonometric Functions 9 Differential Equations 10 Taylor Polynomial And Infinite Series 11 Probability And Calculus A.1 Real Numbers A.2 Operations On Polynomials A.3 Factoring Polynomials A.4 Operations On Rational Expressions A.5 Integer Exponents And Scientific Notation A.6 Rational Exponents And Radicals A.7 Quadratic Equations B.1 Sequences, Series, And Summation Notation B.2 Arithmetic And Geometric Sequences B.3 Binomial Theorem B.4 Interpolating Polynomials And Divided Differences expand_more
1.1 Functions 1.2 Elementary Functions: Graphs And Transformations 1.3 Linear And Quadratic Functions 1.4 Polynomial And Rational Functions 1.5 Exponential Functions 1.6 Logarithmic Functions Chapter Questions expand_more
Problem 1MP: Matched Problem 1 Evaluate each basic elementary function at (A) x = 729 (B) x = 5.25 Round any... Problem 2MP: Matched Problem 2 (A) How are the graphs of y=x+5 and y=x4 related to the graph of y=x? Confirm your... Problem 3MP: Matched Problem 3 The graphs in Figure 5 are either horizontal or vertical shifts of the graph of... Problem 4MP: Matched Problem 4 (A) How are the graphs of y = 2x and y = 0.5x related to the graph of y = x?... Problem 5MP: Matched Problem 5 The graph of y = G(x) in Figure 9 involves a reflection and a translation of the... Problem 6MP: Matched Problem 6 Graph the piecewise-defined function h(x)={2x+4if0x2x1ifx2 Problem 7MP: Matched Problem 7 Trussville Utilities uses the rates shown in Table 2 to compute the monthly cost... Problem 1ED Problem 2ED Problem 3ED: Explore and Discuss 3 Explain why applying any of the graph transformations in the summary box to a... Problem 1E: In Problems 110, find the domain and range of each function. 1. f(x) = x2 4 Problem 2E: In Problems 110, find the domain and range of each function. 2. f(x)=1+x Problem 3E: In Problems 110, find the domain and range of each function. 3. f(x) = 7 2x Problem 4E Problem 5E: In Problems 110, find the domain and range of each function. 5. f(x)=8x Problem 6E Problem 7E: In Problems 110, find the domain and range of each function. 7. f(x)=27+x3 Problem 8E Problem 9E: In Problems 110, find the domain and range of each function. 9. f(x) = 6|x| + 9 Problem 10E: In Problems 110, find the domain and range of each function. 10. f(x)=8+x3 Problem 11E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 11. y =... Problem 12E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 12. y =... Problem 13E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 13. y =... Problem 14E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 14. y =... Problem 15E Problem 16E Problem 17E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 17. y =... Problem 18E Problem 19E Problem 20E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 20. y =... Problem 21E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 21. y =... Problem 22E Problem 23E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 23. y =... Problem 24E Problem 25E: In Problems 1126, graph each of the functions using the graphs of functions f and g below. 25. y =... Problem 26E Problem 27E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 28E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 29E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 30E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 31E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 32E Problem 33E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 34E: In Problems 2734, describe how the graph of each function is related to the graph of one of the six... Problem 35E Problem 36E Problem 37E: Each graph in Problems 3542 is the result of applying a sequence of transformations to the graph of... Problem 38E Problem 39E: Each graph in Problems 3542 is the result of applying a sequence of transformations to the graph of... Problem 40E: Each graph in Problems 3542 is the result of applying a sequence of transformations to the graph of... Problem 41E: Each graph in Problems 3542 is the result of applying a sequence of transformations to the graph of... Problem 42E: Each graph in Problems 3542 is the result of applying a sequence of transformations to the graph of... Problem 43E: In Problems 4348, the graph of the function g is formed by applying the indicated sequence of... Problem 44E: In Problems 4348, the graph of the function g is formed by applying the indicated sequence of... Problem 45E: In Problems 4348, the graph of the function g is formed by applying the indicated sequence of... Problem 46E Problem 47E: In Problems 4348, the graph of the function g is formed by applying the indicated sequence of... Problem 48E: In Problems 4348, the graph of the function g is formed by applying the indicated sequence of... Problem 49E: Graph each function in Problems 4954. 49. f(x)={22xifx2x2ifx2 Problem 50E: Graph each function in Problems 4954. 50. g(x)={x+1ifx12+2xifx1 Problem 51E: Graph each function in Problems 4954. 51. h(x)={5+0.5xif0x1010+2xifx10 Problem 52E: Graph each function in Problems 4954. 52. h(x)={10+2xif0x2040+0.5xifx20 Problem 53E Problem 54E: Graph each function in Problems 4954. 54. h(x)={4x+20if0x202x+60if20x100x+360ifx100 Problem 55E: Each of the graphs in Problems 5560 involves a reflection in the x axis and/or a vertical stretch or... Problem 56E Problem 57E: Each of the graphs in Problems 5560 involves a reflection in the x axis and/or a vertical stretch or... Problem 58E: Each of the graphs in Problems 5560 involves a reflection in the x axis and/or a vertical stretch or... Problem 59E Problem 60E: Each of the graphs in Problems 5560 involves a reflection in the x axis and/or a vertical stretch or... Problem 61E: Changing the order in a sequence of transformations may change the final result. Investigate each... Problem 62E Problem 63E Problem 64E Problem 65E: Changing the order in a sequence of transformations may change the final result. Investigate each... Problem 66E Problem 67E: Pricedemand. A retail chain sells bicycle helmets. The retail price p(x) (in dollars) and the weekly... Problem 68E Problem 69E Problem 70E: Pricedemand. A company manufactures and sells in-line skates. Its financial department has... Problem 71E: Electricity rates. Table 3 shows the electricity rates charged by Monroe Utilities in the summer... Problem 72E: Electricity rates. Table 4 shows the electricity rates charged by Monroe Utilities in the winter... Problem 73E: State income tax. Table 5 shows state income tax rates for married couples filing a joint return in... Problem 74E: State income tax. Table 6 shows state income tax rates for individuals filing a return in Louisiana.... Problem 75E: Human weight. A good approximation of the normal weight of a person 60 inches or taller but not... Problem 76E: Herpetology. The average weight of a particular species of snake is given by w(x) = 463x3, 0.2 x ... Problem 77E: Safety research. Under ideal conditions, if a person driving a vehicle slams on the brakes and skids... Problem 78E: Learning. A production analyst has found that on average it takes a new person T(x) minutes to... format_list_bulleted