Given the exponential function , and when x = -2, find the value of a. a = ____.
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 on the graph.
Key Concept Explanation
The core expression of an exponential function is (b > 0; b ≠ 1), where is the initial value, is the base, and is the independent variable. The value of can be determined by substituting known values of and into the equation.
Step-by-step Solution
1. Substitute and into the function
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