TEX Sketch the graph, and include at least two periods for the function without a calculator:...
Sketch the graph of two periods of the function. Label the key points showing intercepts, asymptotes, and the location of any maximum and minimum values. Give any phase shifts or vertical shifts as necessary. 6. Graph on the same axes f(x)= 3sin(x+1) Show 5 key points
Graph two periods of the function y = 3 sin (4x + π). Label your axes appropriately and identify the period, amplitude, and phase shift of the function. Also fill in the blanks: Period ________ Amplitude ____________ Phase Shift ___________
PLEASE SHOW WORK!!!!! 6) List the 5 key points for each of the following steps 9 if the step is not applicable, just write none), then graph the function, including 2 full periods, be sure to label the axis. y= 2+cos(x+1) Original Points: Amplitude: Period and endpoints: Reflection: Vertical Shift: Graph: 7) Graph the function for 2 full periods. Be sure to show and label the vertical asymptotes as well as the x-intercepts. F(x) = 4 tan (2x) 8) Evaluate...
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...
Graph the function for two periods. f(x) = 2 sin(x - sin(x - - 5 y 10 у 101 8 8 6 6 4 4 2 2 X -2 -3 2 -3 - 27 -2 3 - -2 -2 -41 -66 -6 -8f -8 -104 O -10 y y 101 y 10 8 8 6 A 41 4 21 2 X X -30 -2x 2 3 -31 -20 2x 3 -2 -41 -6 -8 -8 -101 -10 Determine the amplitude,...
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...
Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid of a calculator 2. (5 Points) Show all work to determine sin ). without the aid of a calculator 3. (5 Points) Show all work to determine tan(-) Math 37 7/20/10 4. (5 Points) Show all work to determine csc(-) 5. (5 Points) Show all work to determine sec(-420°) 6. (5 Points) Show all work to determine cot(495) Math 37 7/20/10 Name 7. (10...
1. Find the amplitude, period, midline, phase shift and graph over one period the following function: f(x) = 5cos(2x − π). (Please don’t use a calculator, include details on the graph (points on both axes)) 2. Use the fundamental identities to fully simplify the expression: csc(x) + cos(x)cot(−x)
COMMUNICATION: [12 Marks) 1. Sketch the graph of y=cose for O ses 360". Then apply the proper transformations to graph y=2 cos 2(0+45) on the same set of axes. [8] 45 135 180 225 270 315360 y = 2 cos 20+45) Amplitude is: Period is: Phase shift is:
please help with part b Amplitude, Period, and Phase Shift: From Function. Given a function f(x) = a sin(bx + c) or g(x) = a cos(bx + c), you have the following formulas: Amplitude = lal Period = 40 Phase Shift = -9 Determine the amplitude, period, and phase shift for the given functions: (a) f(x) = -6 sin(5x - 2) Amplitude = 6 Period Phase Shift = (b) f(x) - 4 sin(8 - 9xx) Amplitude Period = Phase Shift...