An exponential function passes through the point (2, 0.64). Find the value of a. The value of a is ____.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve for the initial value in an exponential function given a specific point through which the function passes. The problem requires understanding the relationship between the variables in the exponential function.
Key Concept Explanation
The key concept here is the form of the exponential function (b > 0; b ≠ 1), where is the initial value, is the base, and is the independent variable. The base must be positive and not equal to 1.
Step-by-step Solution
1. Substitute the given point into the function:
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