Question
Linear functions represent _______ rate of change, exponential functions represent ______ rate of change.
(-1, 2) (-1, 2) (6, 9) (6, 9) (6, 1) (6, 1) (-7, 8)?
(-1, 2) (-1, 2) (6, 9) (6, 9) (6, 1) (6, 1) (-7, 8)?
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GPT-4o mini
Linear functions represent a **constant** rate of change, while exponential functions represent a **variable** (or **proportional**) rate of change.
In more detail:
- Linear functions exhibit a steady increase or decrease; for example, if you plot a linear function, the slope remains the same throughout.
- Exponential functions, on the other hand, grow or decay at rates that change based on the current value, leading to growth that accelerates or decelerates. This is characterized by their characteristic "curved" shape when graphed.
If you have any specific points or additional context you'd like to analyze (like the points you mentioned), please let me know!
In more detail:
- Linear functions exhibit a steady increase or decrease; for example, if you plot a linear function, the slope remains the same throughout.
- Exponential functions, on the other hand, grow or decay at rates that change based on the current value, leading to growth that accelerates or decelerates. This is characterized by their characteristic "curved" shape when graphed.
If you have any specific points or additional context you'd like to analyze (like the points you mentioned), please let me know!
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