Question

reasoning a signal generator is used to generate signals for a lab experiment. the graph shows the frequency of the signal generated. use pencil and paper. explain your answer for part (1).

1. how many decreasing intervals are defined in the graph?
2. how are the decreasing intervals alike?
3. how are the decreasing intervals different?

1. how many decreasing intervals are defined in the graph?

Explanation:

To determine the number of decreasing intervals, we analyze the graph of the signal's frequency over time:

Step 1: Identify intervals where frequency decreases

A "decreasing interval" is a time period where the frequency (y - value) decreases as time (x - value) increases.

• First decreasing interval: After the first peak (around \( x \approx 1 \) minute), the frequency drops to 0 (or a minimum) before \( x = 2 \) minutes.
• Second decreasing interval: After the second peak (around \( x \approx 4 \) minutes), the frequency drops (though the graph cuts off, the visible decrease here counts as a second interval).

Step 2: Count the decreasing intervals

From the graph, we observe two distinct intervals where the frequency decreases as time increases.

Answer:

2