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


y = -6 cos 4x

Adomain = -1/2 ≤ x ≤ 1/2; period = 6; range:- -6 ≤ y ≤ 6; amplitude = 1/2
Bdomain = all real numbers; period = π/2 ; range:- -6 ≤ y ≤ 6; amplitude = 6
Cdomain = all real numbers; period = π/2 ; range: -6 ≤ y ≤ 6; amplitude = -6
Ddomain = -1/2 ≤ x ≤ 1/2; period = 6π; range: -6 ≤ y ≤ 6 ; amplitude = 1/2

Verified Answer :

FractalX

Domain is all real numbers because there is a y value for every x.
The amplitude is the absolute value of the constant of the outside: |-6| = 6
The range is that x is between the positive and negative amplitude: -6 ≤ y ≤ 6
The period is usually 2π, but here it is 2π/4, or π/2, as it goes up and down 4 times as fast as it would if it was just cos x.
Answer: B

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