Choose the graph of y = 2 cos x
2 answers:
Answer:
The graph is in the attachment.
Step-by-step explanation:
The cosine function is periodic. This means that every 2pi, the image is the same.
For y = 2 cos x, the amplitude of the function is given by 2.
The domain of the function is (-∞,∞).
The image of the function is [-2, 2].
<u>For example:</u>
y(0) = 2 cos 0 = 2 . 1 = 2.
y(pi/2) = 2 cos(pi/2) = 2 * 0 = 0.
y(pi) = 2 cos(pi) = 2 * -1 = -2.
y(3pi/2) = 2 cos(3pi/2) = 2 * 0 = 0.
y(2pi) = 2 cos(2pi) = 2 * 1 = 2.
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