10. Graph two periods of the following function. Label key x values. State the period and...
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 full periods of the function Rx) = 3 sin ( 1 ) + State the amplitude, period, and midline. amplitude period midline Determine the exact maximum and minimum y-values and their corresponding x-values for one period where x > 0. (For each an maximum (x,y)-( minimum (x,y) ( Additional Materials eBook Amplitude and Period of Sine and Cosine i r in Termin
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 ___________
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,...
TEX Sketch the graph, and include at least two periods for the function without a calculator: f(x) = 4 cos + ) | – 2. Also, indicate the amplitude, period, vertical shift and phase shift for f(x). (8 points) 2 a. Amplitude = b. Period = c. Vertical Shift = d. Phase Shift = e. Sketch graph of y, label at least two distinct points (x, y) on the graph: 61 4 N 2 4 6 8 10 -10 -8...
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...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
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...
Graph the following function over a two period interval Give the period and the amplitude. 1 y = COS What is the period of the function y = y= cos x (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) * What is the amplitude of the function y = 1 5 cosa Type an integer or a simplified fraction) Graph the function y = 5 cos Choose...
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) 7b) Evaluate the expressions without using a calculator. Show your work. a. arcsin (- 2) = b. arccos (- 12) =