Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for College Algebra (MindTap Course List)
Practice: Determine how many linear factors and zeros each polynomial function has. P(x)=x481Practice: Determine how many linear factors and zeros each polynomial function has. P(x)=x40+x39Practice: Determine how many linear factors and zeros each polynomial function has. P(x)=4x5+8x3Practice: Determine how many linear factors and zeros each polynomial function has. P(x)=x3+144xPractice Write a quadratic function with real coefficients and the given zero. 2iPractice Write a quadratic function with real coefficients and the given zero. 3iPractice Write a quadratic function with real coefficients and the given zero. 3iPractice Write a quadratic function with real coefficients and the given zero. 4+2iPractice Write a third-degree polynomial function with real coefficients and the given zeros. 3,iPractice Write a third-degree polynomial function with real coefficients and the given zeros. 1,iPractice Write a third-degree polynomial function with real coefficients and the given zeros. 2,2+iPractice Write a third-degree polynomial function with real coefficients and the given zeros. 2,3iPractice Write a fourth-degree polynomial function with real coefficients and the given zeros. 3,2,iPractice Write a fourth-degree polynomial function with real coefficients and the given zeros. 1,2,1+iWrite a fourth degree polynomial function with real coefficients and the given zeros. i,1iWrite a fourth degree polynomial function with real coefficients and the given zeros. i,2iWrite a quadratic function with the given repeated zero. 2iWrite a quadratic function with the given repeated zero. 2i35E36E37E38E39E40E41EUse Descartes Rule of Signs to find the number of possible positive, negative, and nonreal zeros of each function. P(x)=5x7+3x62x5+3x4+9x3+x2+143E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70EFind the rational zeros of P(x)=3x310x2+9x2.2SC3SC1E2E3E4EUse the Rational Zero Theorem to list all possible rational zeros of the polynomial function. P(x)=x3+10x2+5x126EUse the Rational Zero Theorem to list all possible rational zeros of the polynomial function. P(x)=2x4x3+10x2+5x6Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function. P(x)=3x4x3+7x25x89E10EFind all rational zeros of each polynomial function. P(x)=x35x2x+5Find all rational zeros of each polynomial function. P(x)=x3+7x2x7Find all rational zeros of each polynomial function. P(x)=x32x2x+214E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54EFind all zeros of each polynomial function. P(x)=2x53x4+6x39x28x+1256E57E58E59E60E61E62E63E64E65EFabricating sheet metal The open tray shown in the illustration is to be manufactured from a 12-by-14-inch rectangular sheet of metal by cutting squares from each corner and folding up the sides. If the volume of the tray is to be 160 cubic inches and x is to be an integer, what size squares should be cut from each corner?FedEx box The length of a FedEx 25-kg box is 7 inches more than its height. The width of the box is 4 inches more than its height. If the volume of the box is 4420 cubic inches, find the height of the box.Dr. Pepper can A Dr. Pepper aluminum can is approximately the shape of a cylinder. If the height of the can is 9 centimeters more than its radius and the volume of the can is approximately 108 cubic centimeters, find the radius of the can. The formula for the volume of a cylinder is V=r2h69E70E71E72E73E74EPrecalculus A rectangle is inscribed in the parabola y=16x2, as shown in the illustration. Find the point (x,y) if the area of the rectangle is 42 square units.76E77E78E79E80E81E82EFind the domain of f(x)=2x3x2x2.2SC3SC4SC5SC6SCGraph the function: f(x)=1x(x2)2.8SC9SCGraph: f(x)=x2+x12x+4.Find the mean hourly cost when the cell phone described above is used for 240 minutes.Fill in the blanks. When a graph approaches a vertical line but never touches it, we call the line an _________.2EFill in the blanks. To find a _________ asymptote of a rational function in simplest form, set the denominator polynomial equal to 0 and solve the equation.Fill in the blanks. To find the _________ of a rational function, let x=0 and solve for y or find f(0).Fill in the blanks. To find the _________ of a rational function, set the numerator equal to 0 and solve the equation.Fill in the blanks. In the function f(x)=P(x)Q(x), if the degree of P(x) is less than the degree of Q(x), the horizontal asymptote is __________.Fill in the blanks. In the function f(x)=P(x)Q(x), if the degree of P(x) and Q(x) are the _______, the horizontal asymptote is __________ is y=theleadingcoefficientofthenumeratortheleadingcoefficientofthedenominator.Fill in the blanks. In a rational function, if the degree of the numerator is 1 greater than the degree of the denominator, the graph will have a _________.Fill in the blanks. A graph can cross a _______ asymptote but can never cross a _______ asymptote.Fill in the blanks. The graph of f(x)=x24x+2 will have a ________ point.Find the equations of the vertical and horizontal asymptotes of each graph. Find the domain and range.12E13E14E15E16E17E18E19ESuppose the cost in dollars of removing p of the pollution in a river is given by the function C=f(p)=50,000p100p(0p100) Find the cost of removing each percent of pollution. 80Find the domain of each rational function. Do not graph the function. f(x)=x2x222EFind the domain of each rational function. Do not graph the function. f(x)=2x2+7x2x22524E25E26E27E28EFind the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=xx3Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=2x2x+5Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=x+2x21Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=x4x216Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=1x2x6Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=x+22x26x8Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=x2x2+5Find the vertical asymptotes, if any, of each rational function. Do not graph the function. f(x)=x33x2+12x2+3Find the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=2x1xFind the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=x2+13x25Find the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=x2+x22x24Find the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=5x2+15x2Find the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=x+1x34xFind the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=x2x2x+11Find the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=x2x2Find the horizontal asymptotes, if any, of each rational function. Do not graph the function. f(x)=x4+1x3Find the slant asymptotes, if any, of each rational function. Do not graph the function. f(x)=x25x6x2Find the slant asymptotes, if any, of each rational function. Do not graph the function. f(x)=x22x+11x+3Find the slant asymptotes, if any, of each rational function. Do not graph the function. f(x)=2x25x+1x4Find the slant asymptotes, if any, of each rational function. Do not graph the function. f(x)=5x3+1x+5Find the slant asymptotes, if any, of each rational function. Do not graph the function. f(x)=x3+2x2x1x21Find the slant asymptotes, if any, of each rational function. Do not graph the function. f(x)=x3+3x2x+1x2+1Graph each rational function. Check your work with a graphing calculator. y=1x2Graph each rational function. Check your work with a graphing calculator. y=3x+3Graph each rational function. Check your work with a graphing calculator. y=xx1Graph each rational function. Check your work with a graphing calculator. y=xx+2Graph each rational function. Check your work with a graphing calculator. y=x+1x+2Graph each rational function. Check your work with a graphing calculator. f(x)=x1x2Graph each rational function. Check your work with a graphing calculator. f(x)=2x1x1Graph each rational function. Check your work with a graphing calculator. f(x)=3x+2x24Graph each rational function. Check your work with a graphing calculator. g(x)=x29x24Graph each rational function. Check your work with a graphing calculator. g(x)=x24x29Graph each rational function. Check your work with a graphing calculator. g(x)=x2x2x24x+3Graph each rational function. Check your work with a graphing calculator. g(x)=x2+7x+12x27x+12Graph each rational function. Check your work with a graphing calculator. y=x2+2x3x34xGraph each rational function. Check your work with a graphing calculator. y=3x24x+12x3+3x2+xGraph each rational function. Check your work with a graphing calculator. y=x29x2Graph each rational function. Check your work with a graphing calculator. y=3x212x2Graph each rational function. Check your work with a graphing calculator. f(x)=x(x+3)2Graph each rational function. Check your work with a graphing calculator. f(x)=x(x1)2Graph each rational function. Check your work with a graphing calculator. f(x)=x+1x2(x2)Graph each rational function. Check your work with a graphing calculator. f(x)=x1x2(x+2)2Graph each rational function. Check your work with a graphing calculator. y=xx2+1Graph each rational function. Check your work with a graphing calculator. y=x1x2+2Graph each rational function. Check your work with a graphing calculator. y=3x2x2+1Graph each rational function. Check your work with a graphing calculator. y=x292x2+1Graph each rational function. Check your work with a graphing calculator. h(x)=x22x8x1Graph each rational function. Check your work with a graphing calculator. h(x)=x2+x6x+2Graph each rational function. Check your work with a graphing calculator. f(x)=x3+x2+6xx21Graph each rational function. Check your work with a graphing calculator. f(x)=x32x2+xx24Graph each rational function. Note that the numerator and denominator of the fraction share a common factor. f(x)=x2x.80E81E82EGraph each rational function. Note that the numerator and denominator of the fraction share a common factor. f(x)=x22x+1x1.84EGraph each rational function. Note that the numerator and denominator of the fraction share a common factor. f(x)=x31x1.86E87EAn electric company charges 10 per month plus 20 for each kilowatt-hour kwh of electricity used. a. Find a function that gives the total cost C of x kwh of electricity. b. Find the total cost of using 775 kwh. c. Find a function that gives the mean cost kwh C, when using x kwh. d. Find the mean cost per kwh when 775 kwh are used. Round to the nearest hundredth. e. Find the mean cost per kwh when 3200 kwh are used. Round to the nearest hundredth.89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108EDetermine if the statement is true or false. If the statement is false, then correct it and make it true. The graph of a rational function will never cross a horizontal asymptote.110E1E2E3E4E5E6E7E8E9E10E11E12EArchitecture A parabolic arch has an equation of 3x2+y300=0. Find the maximum height of the arch.14E15EDigital cameras A company that produces and sells digital cameras has determined that the total weekly cost C of producing x digital cameras is given by the function C(x)=1.5x2150x+4850. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E