Problem 1AYU: Use transformations to graph y=3 x 2 . (pp. 106-114) Problem 2AYU: Use transformations to graph . (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 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 -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 using key points, the equivalent form ___could be graphed instead.
(a) (b)... Problem 11AYU:
(a) What is the-intercept of the graph of f ?
(b) For what numbers , , is the graph of f... Problem 12AYU:
(a) What is the -intercept of the graph of g?
(b) For what numbers , , is the graph... Problem 13AYU: In Problems 13 22, determine the amplitude and period of each function without graphing. y=2sinx Problem 14AYU: In Problems 13-22, determine the amplitude and period of each function without graphing.
Problem 15AYU: In Problems 13 – 22, determine the amplitude and period of each function without graphing.
15.
Problem 16AYU: In Problems 13-22, determine the amplitude and period of each function without graphing.
Problem 17AYU: In Problems 13-22, determine the amplitude and period of each function without graphing.
Problem 18AYU: In Problems 13-22, determine the amplitude and period of each function without graphing. y=3cos( 3x... Problem 19AYU: In Problems 13 – 22, determine the amplitude and period of each function without graphing.
19.
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.
21.
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).
... 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).
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)
.
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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: ln 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... 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 .
Problem 77AYU: In Problems 75-78, find the average rate of change off from 0 to .
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 and , and graph each of these functions.
Problem 80AYU: In Problems 79-82, find ( fg ) (x) and (gf) ( x ) , and graph each of these functions. f( x )=cosx... Problem 81AYU: In Problems 79-82, find ( fg ) (x) and (gf) ( x ) , and graph each of these functions. f( x )=-2x g(... Problem 82AYU: In Problems 79-82, find and , and graph each of these functions.
Problem 83AYU: In Problems 83 and 84, graph each function. f( x )={ sinx0x 5 4 cosx 5 4 x2 Problem 84AYU: In Problems 83 and 84, graph each function. g( x )={ 2sinx0x cosx+1x2 Problem 85AYU: Alternating Current (ac) Circuits The current I , in amperes, flowing through an ac (alternating... Problem 86AYU: Alternating Current (ac) Circuits The current I , in amperes, flowing through an ac (alternating... Problem 87AYU: 87. Alternating Current (ac) Generators The voltage V, in volts, produced by an ac generator at time... Problem 88AYU: Alternating Current (ac) Generators The voltage V, in volts, produced by an ac generator at time t,... 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: Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls blood... Problem 92AYU: Ferris Wheel The function
represents the height , in feet, of a seat on a Ferris wheel as a... Problem 93AYU Problem 94AYU: Holding Pattern The function d(t)=50cos(10t)+60 represents the distance d, in miles, of an airplane... Problem 95AYU: Biorhythms in the theory of biorhythms, a since function of the form P(t)=50sin(t)+50 Is used to... Problem 96AYU: 96. Graph .
Problem 97AYU: Biorhythms In the theory of biorhythms, a sine function of the form P( t )=50sin( t )+50 is used to... Problem 98AYU: In Problems 98 101, the graphs of the given pairs of functions intersect infinitely many times. In... Problem 99AYU: In Problems 98 101, the graphs of the given pairs of functions intersect infinitely many times. In... Problem 100AYU: In Problems 98 101, the graphs of the given pairs of functions intersect infinitely many times. In... Problem 101AYU: In Problems 98 101, the graphs of the given pairs of functions intersect infinitely many times. In... Problem 102AYU: Explain how you would scale the x-axis and y-axis before graphing y=3cos(x) . Problem 103AYU: Explain the term amplitude as it relates to the graph of a sinusoidal function.
Problem 104AYU: Explain the term period as it relates to the graph of a sinusoidal function.
Problem 105AYU: Explain how the amplitude and period of a sinusoidal graph are used to establish the scale on each... Problem 106AYU: Find an application in your major field that leads to sinusoidal graph. Write a summary of your... Problem 107AYU: Problems 107-110 are based on material learned earlier in the course. The purpose of these problems... Problem 108AYU: Problems 107-110 are based on material learned earlier in the course. The purpose of these problems... Problem 109AYU: Problems 107-110 are based on material learned earlier in the course. The purpose of these problems... Problem 110AYU: Solve 3x22(5x+16)=5x using a graphing utility. Round your answer to two decimal places. format_list_bulleted