Since I cannot see the graph you're referring to, I'll guide you through creating a statement and analyzing the increasing and decreasing intervals based on typical behavior you might expect in a graph representing an account balance over time.
Model Statement:
"The balance of James's account changes over time, reflecting deposits and withdrawals. The graph shows how the balance increases or decreases as time progresses."
Increasing Interval:
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When is the function increasing? The function is increasing during any time interval where the graph slopes upward. This could represent times when James is making deposits into his account.
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Relation to your statement: During these intervals, James is likely depositing money, resulting in a higher account balance with the passing of time. This correlates with the notion that his financial situation is positively affected during these periods.
Decreasing Interval:
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When is the function decreasing? The function is decreasing during any time interval where the graph slopes downward. This might represent times when James is making withdrawals from his account.
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Relation to your statement: During these intervals, James is likely withdrawing money, which causes his account balance to drop over time. This indicates a negative impact on his financial status during these periods, illustrating the importance of managing withdrawals in relation to his spending and saving habits.
Summary:
While discussing the graph, you would emphasize that the periods of increasing and decreasing balances reflect James's financial activities—deposits versus withdrawals—over time, showcasing how they affect his overall account balance.
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