Question

you have a device that monitors the voltage across a lamp in a certain circuit. the results are shown in the graph. use the graph to classify intervals of behavior of the given function.
interval (a) is an increasing interval.
interval (b) is a constant interval.
interval (c) is
interval.
an increasing
a decreasing
a constant

Explanation:

To determine the behavior of the function on interval (c), we analyze the graph of the voltage across the lamp over time.

• An increasing interval is where the function's value rises as time increases.
• A constant interval is where the function's value remains the same as time increases.
• A decreasing interval is where the function's value falls as time increases.

Looking at interval (c) (from around \( t = 5 \) to \( t = 6 \) or so), we observe that as time increases, the voltage (the function's value) is decreasing from 4 V to 3 V (or whatever the exact values are, but the trend is downward). So the function is decreasing on interval (c).

Answer:

a decreasing