x F(x)

Question

0 3
1 3.6
2 4.32
3 5.18
4 ?
5 7.46
Find the missing value in the table for the exponential function f(x)=3(1.2)x
. Found your answer to the two decimal places.

(1 point)
f(4)=

Answer 1

To find the missing value \( F(4) \) in the table for the exponential function \( F(x) = 3(1.2)^x \), we can simply substitute \( x = 4 \) into the function.

\[ F(4) = 3(1.2)^4 \]

Now, calculate \( (1.2)^4 \):

\[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 = 2.0736 \]

Then, multiply by 3:

\[ F(4) = 3 \times 2.0736 = 6.2208 \]

Rounding to two decimal places:

\[ F(4) \approx 6.22 \]

Thus, the missing value \( F(4) \) is \( \boxed{6.22} \).