f^(-1) (Y) (cosin^(-1) (X)) 0 π/3 2π/3 π/2 π 2π/3 0

(i) Please fill the table with your preferred trigonometric function, denoted as Y = f(X) and its corresponding inverse function, denoted as f-1(Y). X    | 0 | pi/3 | 2pi/3 | pi/2 | pi | 4pi/3 | 2pi ----------------------------------------------------- Y=f(X) |   |    |     |    |   |     | ----------------------------------------------------- f^-1(Y)|   |    |     |    |   |     | (ii) Utilize the graphing tool to depict both functions Y = f(X) and f-1(Y) on the same graph. Just tell me how to do that on geogebra, preferably step by step (iii) Observe the tabular values and the graphs of Y = f(X) and f-1(Y), answer the following: Examine the periodicity of the chosen trigonometric function, Y = f(X), as presented in the table. Discuss the domain and range of both Y = f(X) and f-1(Y). Determine whether the function Y=f(X) demonstrates even, odd, or neither.

∫ 0π​ ∫ xπ​ ysiny​ dxdy

Write a cosine function that has a midline of y, equals, 5, commay=5, an amplitude of 2 and a period of start fraction, pi, divided by, 2, end fraction 2π​ .

Watch VideoShow ExamplesWrite a cosine function that has an amplitude of 4, a midline of y, equals, 5y=5 and a period of one quarter 41​ .

The graph of a function f is given in the figure.A curve is shown on the x y coordinate plane. It begins at the point (−2, −1), goes up and to the right, passes through the approximate point (−1, −0.2), and passes through the negative x-axis at the approximate point (−0.8, 0). It then continues up and right, passes through the positive y-axis at the point (0, 1), and reaches a high point at (1, 3). It then goes down and right, passes through the points (2, 2) and (3, 1), and ends at the approximate point (4, 0.5).(a)Find the value of f(1).(b)Estimate the value of f(−1).(c)For what values of x is f(x) = 1? (Enter your answers as a comma-separated list.) (d)Estimate the value of x such that f(x) = 0.x = (e)State the domain and range of f. (Enter your answers in interval notation.)domain range (f)On what interval is f increasing? (Enter your answer using interval notation.)