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Exponential multiplication and intercepts

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You identified when these functions will grow and when they will decay. However, can you explain why this is true based on our exponential multiplication?
Also, what are some of the other characteristics like the x and y intercepts?

Thanks.

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This solution explains exponential multiplication and intercepts.

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Take the example of y = 100 (o.5)^x
Each time x is increased by 1, y ...

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