To find the missing value \( f(4) \) using the exponential function \( f(x) = 3(1.2)^x \), we can substitute \( x = 4 \) into the function:
\[ f(4) = 3(1.2)^4 \]
First, we calculate \( (1.2)^4 \):
\[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 \]
Calculating this step by step:
\[ 1.2 \times 1.2 = 1.44 \]
\[ 1.44 \times 1.2 = 1.728 \]
\[ 1.728 \times 1.2 = 2.0736 \]
Now, we multiply this result by 3:
\[ f(4) = 3 \times 2.0736 = 6.2208 \]
Now rounding to two decimal places:
\[ f(4) \approx 6.22 \]
So the missing value in the table is:
\[ f(4) = 6.22 \]
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