Which set of ordered pairs could be generated by an exponential function?
Question
Which set of ordered pairs could be generated by an exponential function?
Solution
Step 1: Define the Problem
Identify which set of ordered pairs can be represented by an exponential function. An exponential function has the form , where , , and .
Step 2: Break Down the Problem
- Understand the characteristics of exponential functions.
- Analyze each set of ordered pairs to see if they fit the form of an exponential function.
Step 3: Apply Relevant Concepts
- Exponential functions have a constant ratio between consecutive -values when the -values increase by a constant amount.
- Check if the ratio holds for each set of ordered pairs.
Step 4: Analysis, Verify and Summarize
- For each set of ordered pairs, calculate the ratio of consecutive -values.
- Verify if the ratio is constant across the pairs.
Final Answer
The set of ordered pairs that maintains a constant ratio between consecutive -values corresponds to an exponential function.
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