For the functions in questions 7-12, find the indicated values. 7. y - Acos(B(x -3) +4...
2) Plot the graph of y = 3 Cos x. Use the domain -2 5 x 5 2 Period: Starting Point (Phase Shift): Amplitude: 5 Critical Points: X 3Cos x -2 TE 27
Part 7) Given the function' on f(x) = -csc (bx - 71/4) with a period p=511/7 a) Determine the value of b: b) Determine the vertical asymptotes: c) Determine the domain: d) Range: Part 8) Calculate the 'terminal angle,' reference angle of and graph on the Cartesian plane, -22/67. Also calculate the exact value of sin (-22/6n) and cos (-22/6)
given the equation of the function, find the requested information 3. y=5-2 sin Midline: Amplitude: Maximum: Minimum: Period: Phase shift: Domain: Range: 4. y = 4cos C) +3 Midline: Amplitude: Minimum: Maximum: Period: Phase shift: Domain: Range:
1. Consider function y=3+cs . Find a) Period -TT b) Horizontal shift c) Range d) Asymptotes 2. Consider function y=-1+2 tan . Find a) Period b) Horizontal shift c) Vertical Shift d) Asymptotes
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one period starting with the phase shift. (No need to sketch the graph) e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one...
1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if there are any at all) the phase (horizontal) shift, saying by how many units and whether to the right or to the left 3 cos 4x a) b) cot (x-) c) sec (x+ 1) d) 1+3 tan mx 1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if...
Score: 0 of 1 pt X 10.1.11 Match the point 2, 9x 5 in polar coordinates with either A, B, C, or D on the graph. 9 Choose the correct letter below which represents the point 2 - OD ОВ 1. y = -6sin (-3x+3) a) Give the amplitude, period, and phase shift of this function. b) Graph this function with a domain of -2n<x<2n -21 an c) What change could you make to this function so that y20 for...
3. Find the domain, asymptotes, and x-intercepts of the function, and then sketch its graph: f(x) = log(3 - x) 4. State the amplitude, period and phase-shift, and then sketch one complete cycle of the graph: y = 2cos (4x + Tt). Label all the maximum, minimum, and x-intercepts. 5. In 2002, the population of a colony is 50,000 and is increasing exponentially at 2.5% per year. a) What will the population be after 6 years? b) In what year...
7. Given f(x)=_x - 2x x--3x-4 a. Why does f define a function? b. Find Dom fand Range f. c. Graph y = f(x) in detail. Include intercepts, symmetry, and asymptotes, including limit behavior for the asymptotes. d. Find the point where the graph crosses the horizontal asymptote.