Use the table to answer the question. 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 . Round your answer to two decimal places. (1 point) f(4)=

Answer 1

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:

$$f(4)=6.22$$