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)=

1 answer

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=1.2×1.2×1.2×1.2

Calculating this step by step:

1.2×1.2=1.44

1.44×1.2=1.728

1.728×1.2=2.0736

Now, we multiply this result by 3:

f(4)=3×2.0736=6.2208

Now rounding to two decimal places:

f(4)6.22

So the missing value in the table is:

f(4)=6.22

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