Find the amplitude period and shift of each function Grab ea

Find the amplitude period and shift of each function Grab each function Each graph should contain on least two periods Verify the graph using a graphing calculator Use the graph to determine and range of each function

Solution

17. y = -3cos(pi*x/4) +1

y = AcosBx +C where A is amplitude and Period = 2pi/B

Amplitude = 3

Period = 2pi/ pi/4 = 8

Domain : all real numbers ( - inf, inf)

Range -3 +1 to 3+1 ; [ -2,4]

18. y = 2csc(2x)

Amplitude : 2

Period 2pi/2 = pi

Domain: 2x > pi*n and 2x < pi(n+1) n belongs to integers

Range : y<= -2 and y >= 2

( - inf , -2] U [2, inf )