To find the domain and range of the given graph, we need to analyze the behavior of the graph over time.

1. Domain:

The domain represents the possible values of the independent variable, which in this case is "Time (years)" on the x-axis.

• From the graph, the time starts from $x = 0$ and continues indefinitely.
• However, the graph is shown from $x = 0$ to $x = 8$ years.

Therefore, the domain is: $\text{Domain: } [0, 8]$

2. Range:

The range represents the possible values of the dependent variable, which in this case is "Amount Remaining (grams)" on the y-axis.

• The graph starts at around 7 grams when $x = 0$ and decreases as time increases.
• The curve approaches zero but does not actually reach it, indicating the amount of the substance is never completely gone.

Therefore, the range is: $\text{Range: } (0, 7]$

Would you like further details or have any other questions?

Here are 5 related questions you might find useful:

1. How can I find the equation of the curve shown?
2. What is the significance of the y-intercept in this context?
3. How does the half-life relate to this type of graph?
4. What mathematical function best models this type of decay?
5. Can we use this graph to predict when the amount remaining will be less than 1 gram?

Tip: When identifying the range in graphs of decay processes, note that the curve often approaches zero asymptotically but doesn't reach zero exactly.