Short Answer 
To identify an exponential decay graph, first observe the overall shapes and interactions with the x-axis of the provided graphs. Look for a curve that consistently bends downward and approaches the x-axis without crossing it, confirming its characteristics of decreasing value and gradual flattening as it extends horizontally.
Step 1: Identify the Graphs
First, observe the two graphs provided. You will need to focus on their overall shapes and how they interact with the x-axis. Compare the curves in both figures to see which one exhibits a downward trend. This is crucial for distinguishing between other types of functions.
Step 2: Examine the x-Axis Interaction
Next, check how each graph behaves near the x-axis. An exponential decay function will have a curve that either lies on or approaches the x-axis without crossing it. Look for characteristics such as:
- The curve of the graph bending downward toward the x-axis.
- The value of the graph getting closer to zero as it extends horizontally.
- Minimal or no upward movements after a certain point.
Step 3: Confirm the Exponential Decay Graph
Finally, once you have determined which graph exhibits the downward bending characteristic, confirm that it is indeed the type of graph representing exponential decay. Specifically, focus on the second graph if it fits the following criteria:
- It closely follows or touches the x-axis.
- It consistently shows a decrease in value as you move from left to right.
- It visually demonstrates a gradual flattening out near the x-axis.