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The dotted line wave starts to the left of the solid line wave and completes each cycle ahead of the solid line wave in the same pattern. The dotted line wave has arrows at both ends and starts at y equals 3 and x equals approximately negative 2.5 pi. Both waves extend to y equals 7 in each cycle above the x-axis and to y equals negative 1 below the x-axis in each cycle. The dotted line wave passes through approximately left parenthesis negative 2.1 pi comma 6 right parenthesis, left parenthesis negative 1.4 pi comma 0 right parenthesis, left parenthesis negative pi comma negative 1 right parenthesis, left parenthesis negative 0.8 pi comma 0 right parenthesis, left parenthesis negative 0.5 pi comma 2 right parenthesis, left parenthesis 0 pi comma 6 right parenthesis, left parenthesis 0.5 pi comma 4 right parenthesis, left parenthesis 0.9 pi comma 0 right parenthesis, left parenthesis pi comma negative 1 right parenthesis, left parenthesis 1.4 pi comma 0 right parenthesis, and left parenthesis 1.5 pi comma 2 right parenthesis. The solid line wave starts at y equals 3 and x equals approximately negative 2.2 pi. The solid line wave passes through approximately left parenthesis negative 2.1 pi comma 4 right parenthesis, left parenthesis negative 1.5 pi comma 7 right parenthesis, left parenthesis negative pi comma 2 right parenthesis, left parenthesis negative 0.8 pi comma 0 right parenthesis, left parenthesis negative 0.4 pi comma negative 1 right parenthesis, left parenthesis negative 0.2 pi comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, left parenthesis 0.4 pi comma 6 right parenthesis, left parenthesis pi comma 4 right parenthesis, left parenthesis 1.4 pi comma 0 right parenthesis, left parenthesis 1.6 pi comma negative 1 right parenthesis, and left parenthesis 2 pi comma 2 right parenthesis.

Compare the attributes of the graphed sine and cosine functions. Based on your comparisons, which of the following statements is correct?

(1 point)
Responses

The sine function has a smaller y-intercept than the cosine function.
The sine function has a smaller y -intercept than the cosine function.

The sine function has a different domain than the cosine function.
The sine function has a different domain than the cosine function.

The sine function has a smaller amplitude than the cosine function.
The sine function has a smaller amplitude than the cosine function.

The cosine function has more x-intercepts than the sine function.

All Answers 1

Answered by GPT-5 mini AI
The sine function has a smaller y‑intercept than the cosine function.

Reason: the sine curve (solid) has y‑intercept 2 while the cosine curve (dotted) has y‑intercept 6. The two functions have the same domain and the same amplitude (4), and the cosine does not have more x‑intercepts than the sine.