Multiple ChoiceBelow is a graph of the function y=tan(bx)y=\tan\left(bx\right)y=tan(bx). Determine the value of b.127views2rank
Multiple ChoiceBelow is a graph of the function y=cot(bx+π2)y=\cot\left(bx+\frac{\pi}{2}\right)y=cot(bx+2π). Determine the value of b.110views
Textbook QuestionFor each function, give the amplitude, period, vertical translation, and phase shift, as applicable.y = (1/2)csc (2x - π/4)135views
Textbook QuestionFor each function, give the amplitude, period, vertical translation, and phase shift, as applicable.y = 2 sec(πx - 2π)107views
Textbook QuestionGraph each function over a one-period interval. See Examples 1–3.y = 2 tan x108views
Textbook QuestionFor each function, give the amplitude, period, vertical translation, and phase shift, as applicable.y = 1/3 tan (3x - π/3)147views
Textbook QuestionFor each function, give the amplitude, period, vertical translation, and phase shift, as applicable.y = cot (x/2 + 3π/4)140views
Textbook QuestionIdentify the circular function that satisfies each description.period is π; function is decreasing on the interval (0, π)104views
Textbook QuestionMatch each function in Column I with the appropriate description in Column II.Iy = -4 sin(3x - 2)IIA. amplitude = 2, period = π/2, phase shift = ¾B. amplitude = 3, period = π, phase shift = 2C. amplitude = 4, period = 2π/3, phase shift = ⅔D. amplitude = 2, period = 2π/3, phase shift = 4⁄3135views
Textbook QuestionDecide whether each statement is true or false. If false, explain why.The tangent and secant functions are undefined for the same values.128views
Textbook QuestionDecide whether each statement is true or false. If false, explain why.The graph of y = sec x in Figure 37 suggests that sec(-x) = sec x for all x in the domain of sec x.126views
Textbook QuestionConsider the function g(x) = -2 csc (4x + π). What is the domain of g? What is its range?109views
Textbook QuestionDetermine the simplest form of an equation for each graph. Choose b > 0, and include no phase shifts. (Midpoints and quarter points are identified by dots.)<IMAGE> 143views
Textbook QuestionDetermine the simplest form of an equation for each graph. Choose b > 0, and include no phase shifts. (Midpoints and quarter points are identified by dots.)<IMAGE> 182views
Textbook QuestionA rotating beacon is located at point A, 4 m from a wall. The distance a is given bya = 4 |sec 2πt|,where t is time in seconds since the beacon started rotating. Find the value of a for each time t. Round to the nearest tenth if applicable.<IMAGE>t = 1.24134views
Textbook QuestionDetermine the simplest form of an equation for each graph. Choose b > 0, and include no phase shifts. (Midpoints and quarter points are identified by dots.)<IMAGE>133views
Textbook QuestionConsider the following function from Example 5. Work these exercises in order.y = -2 - cot (x - π/4)Based on the answer in Exercise 58 and the fact that the cotangent function has period π, give the general form of the equations of the asymptotes of the graph of y = -2 - cot (x - π/4). Let n represent any integer.107views
Textbook QuestionFor each function, give the amplitude, period, vertical translation, and phase shift, as applicable.y = tan 3x155views
Textbook QuestionConsider the following function from Example 5. Work these exercises in order.y = -2 - cot (x - π/4)Use the fact that the period of this function is π to find the next positive x-intercept. Round to the nearest hundredth.114views
Textbook QuestionFill in the blank(s) to correctly complete each sentence.The graph of y = 3 + 5 cos (x + π/5) is obtained by shifting the graph of y = cos x horizontally ________ unit(s) to the __________, (right/left) stretching it vertically by a factor of ________, and then shifting it vertically ________ unit(s) __________. (up/down)152views
Textbook QuestionMatch each function with its graph in choices A–F.y = tan (x - π )A. <IMAGE> B. <IMAGE> C. <IMAGE>D. <IMAGE> E. <IMAGE> F. <IMAGE>122views
Textbook QuestionIn Exercises 25–28, use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.142views
Textbook QuestionIn Exercises 25–28, use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.164views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = 3 csc x154views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = 1/2 csc x/2152views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = 2 sec x147views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = sec x/3140views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = −2 csc πx133views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = −1/2 sec πx144views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = csc(x − π)167views
Textbook QuestionIn Exercises 29–44, graph two periods of the given cosecant or secant function. y = 2 sec(x + π)142views
Textbook QuestionIn Exercises 45–52, graph two periods of each function. y = sec(2x + π/2) − 1135views
Textbook QuestionIn Exercises 53–54, let f(x) = 2 sec x, g(x) = −2 tan x, and h(x) = 2x − π/2. Graph two periods of y = (f∘h)(x).158views