80. The graph is a reflected sine graph, shifted down ω Find : period π. π= 2π ω 1 unit, with amplitude 1 2 πω = 2π and period 4π . ω Find : 4π = 2π 3 ω = 2π = 2 ω 3 π 4πω = 6π (2 ) The equation is: ω = 4sin . = 6π = y x 3 (π (0 ) (π ) 85. /2) − sin / 2 − sin f f 4π 2 (0 ) = The equation is: y π π /2 − 0 / 2 ⎛ ⎞ − 1 sin 3 1 . x =− ⎜ ⎟ − 1 0 2 π π /2 2 ⎝ 2 ⎠ = = The average rate of change is 2 . π
80. The graph is a reflected sine graph, shifted down period π. Find ω : π= 2π ω 1 unit, with amplitude 1 2 Find ω : 4π = 2π and period 4π . 3 πω = 2π ω = 2π = 2 3 ω π 4πω = 6π ω = 6π = 3 The equation is: y = 4sin (2 x ) . 4π 2 85. f (π /2) − f (0 ) sin (π / 2 ) − sin (0 ) = The equation is: y 1 sin ⎛ 3 x ⎞ − 1 . π /2 − 0 π / 2 =− ⎜ ⎟ 1 − 0 2 2 ⎝ 2 ⎠ = = π /2 π The average rate of change is 2 . π
62514-0132318806_ISM_02-1.docx