Which equation represents an exponential function?
Understand the Problem
The question is asking for the equation that defines an exponential function. An exponential function is typically represented in the form y = a * b^x, where 'a' is a constant, 'b' is the base of the exponential (a positive real number), and 'x' is the exponent or the variable. The key concept here is identifying the characteristic form of an exponential function.
Answer
f(x) = ab^x
The final answer is f(x) = ab^x
Answer for screen readers
The final answer is f(x) = ab^x
More Information
An exponential function commonly has the formula f(x) = ab^x, where 'a' is a constant and 'b' is the base with the exponent 'x'.
Tips
A common mistake is confusing the base of the exponential function (b) with the coefficient (a). Ensure they are properly identified and used correctly.
Sources
- Exponential Function - Formula, Asymptotes, Domain, Range - cuemath.com
- Equations of Exponential Functions | College Algebra - courses.lumenlearning.com
- Exponential Functions | Properties, Graph & Examples - Study.com - study.com