(a) Write the periodical function of the given graph, and find its period. fff

An equation for the function of the given graph is

Plot the 12 values on a graph. The number corresponding to the month is the first coordinate of each point, and average temperature for that month is the second coordinate. The points should create a periodic pattern. Assume that the data is, in fact, periodic and use the graph to determine the following values for both a sine function and a cosine function:

Graph the following function. Show at least two cycles. Use the graph to determine the domain and range of the function. y 4 - 1 tan Choose the correct graph below. OC. OD. O A. Ay Ay Ay 1121 - 12t 112n - 12 12n B.

Graph the function . Be sure to show the calculation for the period, phase shift, midline, and amplitude, and clearly label the axes and graph at least one full period of the function.

Given the graph, the period of its function in either exact or decimal form is: 2- - Y -1+ 2 -3- -4+ -5 5.2 units 2 pi units 6 units 2.6 units 1 2 (2.2,-2) + 3 4 5 6 7 (4.8, -2) 8 9 → x

Graph the functions in the ts-plane (t-axis horizontal,s-axis vertical). What is the period of each function? What symmetriesdo the graphs have?

Graph the following function over a two-period interval. Give the period and the amplitude. y=-3cos 4xx What is the period of the function y=-3cos 4xx? (Simplify your answer. Type an exact answer, using as needed. Use integers What is the amplitude of the function y = -3cos 4+x? (Type an integer or a simplified fraction.) Which of the following is the correct graph f the function y=-3cos 4xx? OA. A Q Q O B. TAVA fractions for any numbers in the expression.) O C. O D. O AB

A portion of the graph of the trigonometric between -0.75 and and 1.25 is shown below. Find a sun function. The equation is:

Consider the graph below 10 2n/5 3nu5 4n/5 a. Find the amplitude and the period b. Find "a" and "b" c. Write the function to represent the graph