To find the missing value \( f(4) \) in the table using the exponential function \( f(x) = 3(1.2)^x \), we need to substitute \( x = 4 \) into the function.
Let's calculate it step by step:
-
Calculate \( (1.2)^4 \): \[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 = 2.0736 \]
-
Now, substitute this value into the function: \[ f(4) = 3(1.2)^4 = 3 \times 2.0736 \]
-
Calculate \( 3 \times 2.0736 \): \[ f(4) = 6.2208 \]
-
Finally, round to two decimal places: \[ f(4) \approx 6.22 \]
Thus, the missing value in the table is \( f(4) = 6.22 \).
1 answer