How to write an equation for an exponential function?
Understand the Problem
The question is asking for guidance on how to formulate an equation that represents an exponential function, typically of the form f(x) = a * b^x, where a is a constant, b is the base of the exponential, and x is the exponent.
Answer
f(x)=ab^x
The general form of the exponential function is f(x)=ab^x.
Answer for screen readers
The general form of the exponential function is f(x)=ab^x.
More Information
An exponential function grows by a constant ratio rather than a constant difference, making it useful for modeling rapid growth or decay.
Tips
A common mistake is confusing exponential functions with linear functions, which grow by a constant difference rather than a constant ratio.
Sources
- Exponential Functions - Algebra and Trigonometry | Guttman Pressbooks - pressbooks.pub
- Equations of Exponential Functions | College Algebra - courses.lumenlearning.com
- Exponential and Logarithmic Functions | BMCC Open Course - math.libretexts.org
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