Use the image to answer the question.

Question

An illustration shows a sine wave on a screen. The sine wave oscillates between positive one and negative 2 vertically and between negative 4 and positive 4 horizontally. There are 4 peaks and 4 valleys visible within the graph on the screen.
How many complete wavelengths are shown in this image? Do not count any partial wavelengths.

(1 point)
Responses

7
7

1
1

3
3

4

Answer 1

To determine the number of complete wavelengths in the sine wave shown in the image, we need to analyze the information provided.

The illustration notes that there are 4 peaks and 4 valleys visible. A complete wavelength of a sine wave consists of one peak and one valley. Therefore, each complete wavelength goes from one peak to the next peak (or from one valley to the next valley).

Since there are 4 peaks, there will be 3 complete wavelengths between them (from the 1st peak to the 2nd peak, from the 2nd to the 3rd, and from the 3rd to the 4th).

Therefore, with this reasoning, the answer would be:

3