a. The following functions are defined for 0 x 2. For each function, write down

a. The following functions are defined for 0 ≤ x ≤ 2π.

For each function, write down the amplitude, the period and the coordinates of the maximum and minimum points.

i. f(x) = 4 sin x

ii. f(x) = cos 3x

iii. f(x) = 2 sin 3x

iv. f(x) = 3 cos 1/2x

v. f(x) = sin 2x + 2

vi. f(x) = 4 cos 2x – 1

b. Sketch the graph of each function in part a and use graphing software to check your answers.