What is the exponential parent function?
Understand the Problem
The question is asking for a definition or explanation of the exponential parent function, which is a fundamental concept in mathematics, particularly in the study of exponential functions. The exponential parent function is typically expressed as f(x) = a^x, where a is a positive constant. Understanding this function involves its key properties such as its graph and behavior for different values of a.
Answer
y = b^x where b > 1
The final answer is y = b^x where b > 1.
Answer for screen readers
The final answer is y = b^x where b > 1.
More Information
The exponential parent function is the simplest form of exponential functions represented as y = b^x, where the base b is greater than 1. This function will always have a y-intercept of 1 at the point (0,1).
Tips
A common mistake is to use a base b that is not greater than 1, which doesn't represent the standard exponential growth function.
Sources
- Parent Function in Math: Definition & Examples - Study.com - study.com
- Exponential Functions - MathBitsNotebook(A2) - mathbitsnotebook.com
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