The characteristics of exponential functions include:
1. The base of the exponential function is a positive number greater than 0 and not equal to 1.
2. The exponent in the function is a variable, which means the value of the function can vary depending on the value of the exponent.
3. The graph of an exponential function is a curve that either increases or decreases continuously, depending on whether the base is greater or less than 1.
4. Exponential functions have an asymptote, which is a horizontal line that the graph approaches but never touches.
5. The rate of change of an exponential function is not constant but increases or decreases exponentially.
6. The inverse of an exponential function is a logarithmic function.
7. Exponential functions are used to model various real-world phenomena, such as population growth, compound interest, and radioactive decay.
What are the characteristics of exponents functions?
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