Question

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

y=-4 cos 8x

Answer 1

[AI-generated answer — Bot GPT 3.5]

Period: The period of a cosine function is given by 2π divided by the coefficient of x inside the cosine function. In this case, the coefficient of x is 8, so the period is 2π / 8 = π / 4.

Range: The range of a cosine function is the set of all possible values that the function can output. Since the cosine function has a range of [-1, 1], the range of y = -4 cos 8x is [-4, 4].

Amplitude: The amplitude of a cosine function is the absolute value of the coefficient in front of the cosine function. In this case, the coefficient is 4, so the amplitude is |4| = 4.