Q. What is the amplitude of g(x)=10cos(6x−1)−4 ?units
Identify Amplitude: The amplitude of a trigonometric function like g(x)=Acos(Bx−C)+D is the absolute value of the coefficient A. In this case, we need to identify A in the given function g(x)=10cos(6x−1)−4.
Determine Coefficient A: Looking at the given function g(x)=10cos(6x−1)−4, we can see that the coefficient A, which represents the amplitude, is 10. This is because the standard form of a cosine function is Acos(Bx−C)+D, where A is the amplitude.
Calculate Amplitude: Since the amplitude is the absolute value of A, and A is 10, the amplitude of the function g(x) is ∣10∣, which is simply 10.
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