Use the table to answer the question.

Question

x f(x)
𝑓
(
𝑥
)

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
𝑓
(
𝑥
)
=
3
(
1.2
)
𝑥
. Round your answer to two decimal places.

(1 point)
f(4)=
𝑓
(
4
)
=

Answer 1

To find the missing value \( f(4) \) using the function \( f(x) = 3(1.2)^x \), we substitute \( x = 4 \) into the equation:

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

Now, we need to calculate \( (1.2)^4 \):

\[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 \] \[ = 1.44 \times 1.44 = 2.0736 \]

Now we continue with the calculation:

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

Finally, we round to two decimal places:

\[ f(4) \approx 6.22 \]

So, the missing value in the table is:

\[ f(4) = 6.22 \]