Find the amplitude or period as requested. Find the period of y = 4 cos (3x + pi

Question

Find the amplitude or period as requested. Find the period of y = 4 cos (3x + pi/2). A) 2 pi/3 B) pi/2 C) 4 D) pi Find the amplitude of y = -3 cos(4x - pi), A) -12 B) pi C) 4 D) 3 Find the phase shift of the function. y = -3 cos (2x + pi) A) 3 pi units to the right B) pi/2 units to the left C) pi/3 units to the left D0 2 pi units to the right Find the domain, range, and period of the given function. y = tan x A) D: x R R: |y| lessthanorequalto 1 Period: 2 pi B) D: |y| lessthanorequalto 1 R: x R Period: 2 pi C) D: x notequalto pi/2 + k pi R: y R Period: pi D) D: x R R: y notequalto pi/2 + k pi Period: pi Indicate asymptotes and x-intercepts. y = tan(2x) A) Asymptotes: x = k pi/2 x-intercepts: k pi B) Asymptotes: x = k pi/2 x-intercepts: k2 pi C) Asymptotes: x = pi/4 + k pi/2 x-intercepts: k pi

Explanation / Answer

y = 4cos(3x +pi/2)

Gen cosine function : y = Acos(Bx +C)

period = 2pi/B = 2pi/3 = 2pi/3

Option A

y = -3cos(4x +pi)

Amplitude = |-3| = 3

Option D

y = tanx

period = pi

Domain : all real execpt x= pi/2 +k*pi

Option C

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