To find the missing value in the context of the exponential function \( f(x) = 3 \cdot (1.2)^x \), you'll need to know the specific \( x \) value for which the \( f(x) \) value is missing.
However, since you haven't provided the corresponding \( x \) value or the specific table with values, I will show you how to calculate \( f(x) \) for a general \( x \).
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Plug the \( x \) value into the function: \[ f(x) = 3 \cdot (1.2)^x \]
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Compute the value:
- If \( x = 0 \): \[ f(0) = 3 \cdot (1.2)^0 = 3 \cdot 1 = 3 \]
- If \( x = 1 \): \[ f(1) = 3 \cdot (1.2)^1 = 3 \cdot 1.2 = 3.6 \]
- If \( x = 2 \): \[ f(2) = 3 \cdot (1.2)^2 = 3 \cdot 1.44 = 4.32 \]
- If \( x = 3 \): \[ f(3) = 3 \cdot (1.2)^3 = 3 \cdot 1.728 = 5.184 \]
Let's say your table has some values missing. You can use this process to compute any \( f(x) \) value.
Once you provide an \( x \) value or a specific part of the table, I can directly calculate the missing value for you.
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