Problem 1AYU: Use transformations to graph y=3 x 2 . (pp. 106-114) Problem 2AYU: Use transformations to graph y= 2x . (pp. 106-114) Problem 3AYU: The maximum value of y=sinx , 0x2 , is ____ and occurs at x= _____. Problem 4AYU: The function y=Asin( x ) , A0 ,has amplitude 3 and period 2; then ____ and ____. Problem 5AYU: The function y=3cos( 6x ) has amplitude ____ and period ____. Problem 6AYU: True or False The graphs of y=sinx and y=cosx are identical except for a horizontal shift. Problem 7AYU: True or false For y=2sin( x ) , the amplitude is 2 and the period is 2 . Problem 8AYU: True or False The graph of the sine function has infinitely many x-intercepts . Problem 9AYU: One period of the graph of y=sin( x ) or y=cos( x ) is called a( n ) ____ . (a) amplitude (b) phase... Problem 10AYU: To graph y=3sin( 2x ) using key points, the equivalent form ___ could be graphed instead. (a)... Problem 11AYU: f( x )=sinx (a) What is the y-intercept of the graph of f ? (b) For what numbers x , x , is the... Problem 12AYU: g( x )=cosx (a) What is the y-intercept of the graph of g ? (b) For what numbers x , x , is the... Problem 13AYU: In Problems 1322, determine the amplitude and period of each function without graphing. y=5sinx Problem 14AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y=3cosx Problem 15AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y=4cos(2x) Problem 16AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y=-sin( 1 2... Problem 17AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y=6sin( x ) Problem 18AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y=3cos( 3x... Problem 19AYU: In Problems 1322, determine the amplitude and period of each function without graphing. y=17cos(72x) Problem 20AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y= 4 3 sin(... Problem 21AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y= 5 3 sin(... Problem 22AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y= 9 5 cos(... Problem 23AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2sin( 2 x ) Problem 24AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 2 x ) Problem 25AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 1 2 x ) Problem 26AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=3cos( 2x ) Problem 27AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=3sin( 2x ) Problem 28AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2sin( 1 2 x ) Problem 29AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 1 2 x ) Problem 30AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2cos( 2 x ) Problem 31AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=3sin( 2x ) Problem 32AYU: In Problems 23-32, match the given function to one of the graphs (A)-(J). y=2sin( 1 2 x ) Problem 33AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 34AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 35AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 36AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 37AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 38AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 39AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 40AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 41AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 42AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 43AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 44AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 45AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 46AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 47AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 48AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 49AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 50AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 51AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 52AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 53AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 54AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 55AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 56AYU: In Problems 33-56, graph each function using transformations or the method of key points. Be sure to... Problem 57AYU: In Problems 57-60, write the equation of a sine function that has the given characteristics.... Problem 58AYU: In Problems 57-60, write the equation of a sine function that has the given characteristics.... Problem 59AYU: In Problems 57-60, write the equation of a sine function that has the given characteristics.... Problem 60AYU: In Problems 57-60, write the equation of a sine function that has the given characteristics.... Problem 61AYU: In Problems 61-74, find an equation for each graph. Problem 62AYU: In Problems 61-74, find an equation for each graph. Problem 63AYU: In Problems 61-74, find an equation for each graph. Problem 64AYU: In Problems 61-74, find an equation for each graph. Problem 65AYU: In Problems 61-74, find an equation for each graph. Problem 66AYU: In Problems 61-74, find an equation for each graph. Problem 67AYU: In Problems 61-74, find an equation for each graph. Problem 68AYU: In Problems 61-74, find an equation for each graph. Problem 69AYU: In Problems 61-74, find an equation for each graph. Problem 70AYU: In Problems 61-74, find an equation for each graph. Problem 71AYU: In Problems 61-74, find an equation for each graph. Problem 72AYU: In Problems 61-74, find an equation for each graph. Problem 73AYU: In Problems 61-74, find an equation for each graph. Problem 74AYU: In Problems 61-74, find an equation for each graph. Problem 75AYU: In Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=sinx Problem 76AYU: In Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=cosx Problem 77AYU: In Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=sin x 2 Problem 78AYU: In Problems 75-78, find the average rate of change off from 0 to 2 . f( x )=cos( 2x ) Problem 79AYU: In Problems 79-82, find ( fg ) (x) and (gf) ( x ) , and graph each of these functions. f( x )=sinx... Problem 80AYU Problem 81AYU Problem 82AYU Problem 83AYU Problem 84AYU: In Problems 83 and 84, graph each function. g( x )={ 2sinx0x cosx+1x2 Problem 85AYU: 85. Graph.
Problem 86AYU: 86. Graph.
Problem 87AYU: Alternating Current (ac) Circuits The current I , in amperes, flowing through an ac (alternating... Problem 88AYU: Alternating Current (ac) Circuits The current I , in amperes, flowing through an ac (alternating... Problem 89AYU: Alternating Current (ac) Generators The voltage V produced by an ac generator is sinusoidal. As a... Problem 90AYU: Bridge Clearance A one-lane highway runs through a tunnel in the shape of one-half a sine curve... Problem 91AYU: 91. Mudding Blood Pressure Several research papers use a sinusoidal graph to model blood pressure.... Problem 92AYU: 92. Modeling Tides The function below models the water height, in feet, at a monitoring station in... Problem 93AYU Problem 94AYU: 94. Modeling Hours of Daylight The function below models the number of hours of daylight in Miami,... Problem 95AYU: Ferris Wheel The function h(x)=100cos(t50)+105 represents the height h in feet, of a seat on a... Problem 97AYU: Biorhythms In the theory of biorhythms, a sine function of the form P( t )=50sin( t )+50 is used to... Problem 96AYU: 96. Holding Pattern The function
represents the distance ,in miles, from the airport after ... Problem 98AYU Problem 99AYU Problem 100AYU Problem 101AYU Problem 102AYU Problem 103AYU: Explain how the amplitude and period of a sinusoidal graph are used to establish the scale on each... Problem 104AYU: Find an application in your major field that leads to sinusoidal graph. Write a summary of your... Problem 105AYU Problem 106AYU Problem 107AYU Problem 108AYU Problem 109AYU Problem 110AYU Problem 111AYU Problem 112AYU Problem 113AYU Problem 114AYU format_list_bulleted