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Which of the following is a characteristic of exponential functions?

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Question: Which of the following is a characteristic of exponential functions?

Options:

  1. They have a constant rate of change.
  2. They grow or decay at a constant percentage rate.
  3. They are always positive.
  4. They can be represented by a straight line.

Correct Answer: They grow or decay at a constant percentage rate.

Solution: 

Exponential functions grow or decay at a constant percentage rate, which is a defining characteristic.

Which of the following is a characteristic of exponential functions?

Practice Questions

Q1
Which of the following is a characteristic of exponential functions?
  1. They have a constant rate of change.
  2. They grow or decay at a constant percentage rate.
  3. They are always positive.
  4. They can be represented by a straight line.

Questions & Step-by-Step Solutions

Which of the following is a characteristic of exponential functions?
  • Step 1: Understand what an exponential function is. It is a function where the variable is in the exponent, like f(x) = a * b^x.
  • Step 2: Recognize that exponential functions can either grow (increase) or decay (decrease).
  • Step 3: Identify that the growth or decay happens at a constant percentage rate, meaning the rate of change is proportional to the current value.
  • Step 4: Conclude that this constant percentage rate of change is a key characteristic of exponential functions.
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