The two main kinds of exponential functions are exponential growth and exponential decay.

Question

Exponential Growth
Exponential Decay
Description
An amount
An amount
choose your answer...
choose your answer...
exponentially at a constant exponentially at a constant rate of time.
rate of time.
Example
Constant Rate
choose your answer...
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choose your answer...
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time
life

Answer 1

It looks like you're trying to differentiate between exponential growth and exponential decay. Here's a structured breakdown for each:

Exponential Growth

• Description: An amount increases exponentially at a constant rate over time.
• Example: Populations of organisms, such as bacteria or animals, can grow exponentially when resources are abundant.
• Constant Rate: The growth rate remains constant over each time interval, leading to faster increases as time progresses.

Exponential Decay

• Description: An amount decreases exponentially at a constant rate over time.
• Example: The decay of radioactive substances, where the quantity reduces by a consistent percentage over each time interval.
• Constant Rate: The decay rate remains constant, which means that the quantity decreases more significantly in the beginning and slows down as the amount remaining becomes smaller.

If you need help with more specific examples or concepts related to these functions, feel free to ask!

Answer 2

Retry
Here are the options:
decreases
increases
Half doubling

Answer 3

Great! Based on the options you provided, here's how you can fill in the descriptions for exponential growth and exponential decay:

Exponential Growth

• Description: An amount increases exponentially at a constant rate over time.
• Example: Half doubling (e.g., population growth, where the population doubles over regular intervals).

Exponential Decay

• Description: An amount decreases exponentially at a constant rate over time.
• Example: (Typically refers to processes like radioactive decay, where the amount halves over regular intervals.)

So, to summarize:

• Exponential Growth: Increases, Half Doubling
• Exponential Decay: Decreases, (no specific second option related to "time life" provided).

Let me know if you need further clarification or assistance!