Given the exponential function and the value of when is , find the value of . Write your answer in the blank: a = ________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to use the given point and the base to solve for the initial value in the exponential function. The key is to substitute the given values into the function and solve for .
Key Concept Explanation
The exponential function (b > 0; b ≠ 1) has two parameters: the initial value and the base . Given a point on the graph, we can substitute the coordinates into the function to find the unknown parameter.
Step-by-step Solution
1. Substitute the given point (-2, ) and the base into the function :
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