To find the missing value \( f(4) \) for the exponential function \( f(x) = 3(1.2)^x \), we can simply substitute \( x = 4 \) into the function.
First, calculate \( f(4) \):
\[ f(4) = 3(1.2)^4 \]
Calculating \( (1.2)^4 \):
\[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 \] \[ = 1.44 \times 1.2 = 1.728 \times 1.2 = 2.0736 \]
Now substitute back into the equation:
\[ f(4) = 3 \times 2.0736 \approx 6.2208 \]
Rounding to two decimal places, we find:
\[ f(4) \approx 6.22 \]
Thus, the missing value in the table is
\[ f(4) = 6.22 \]
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