Find the domain, period, range, and amplitude of the cosine function. y = -6 cos

Question

Find the domain, period, range, and amplitude of the cosine function.

y = -6 cos 4x

Question 16 options:

domain = -1/2 x 1/2; period = 6; range: -6 y 6 ; amplitude = 1/2

domain = all real numbers; period =  ; range:- -6 y 6; amplitude = 6

domain = all real numbers; period = ; range: -6 y 6; amplitude = -6

domain = -1/2 x 1/2; period = 6; range:- -6 y 6; amplitude = 1/2

domain = -1/2 x 1/2; period = 6; range: -6 y 6 ; amplitude = 1/2

domain = all real numbers; period =  ; range:- -6 y 6; amplitude = 6

domain = all real numbers; period = ; range: -6 y 6; amplitude = -6

domain = -1/2 x 1/2; period = 6; range:- -6 y 6; amplitude = 1/2

Explanation / Answer

cos 4x is defined for all real nos.

-1 cos 4x 1

-6 -6 cos 4x 6

-6 y 6

amplitude is always positive = 6

so correct option is 2nd

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