The graph of an exponential function passes through the points and . The expression of this function is y = _______.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to determine the base of an exponential function given two points on its graph.
Key Concept Explanation
An exponential function has the form (where and ). Given two points, we can set up a system of equations to solve for and .
Step-by-step Solution
1. Let the general form of the exponential function be .
2. Substitute the point into the function: , which gives (Equation ①).
3. Substitute the point
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