Question

Find the missing value in the table for the exponential function f(x)=3.(1.2). Round your answer to two decimal places.

Answer 1

To find the missing value in the context of the exponential function \( f(x) = 3 \cdot (1.2)^x \), you'll need to know the specific \( x \) value for which the \( f(x) \) value is missing.

However, since you haven't provided the corresponding \( x \) value or the specific table with values, I will show you how to calculate \( f(x) \) for a general \( x \).

1. Plug the \( x \) value into the function:
\[
f(x) = 3 \cdot (1.2)^x
\]

2. Compute the value:
- If \( x = 0 \):
\[
f(0) = 3 \cdot (1.2)^0 = 3 \cdot 1 = 3
\]
- If \( x = 1 \):
\[
f(1) = 3 \cdot (1.2)^1 = 3 \cdot 1.2 = 3.6
\]
- If \( x = 2 \):
\[
f(2) = 3 \cdot (1.2)^2 = 3 \cdot 1.44 = 4.32
\]
- If \( x = 3 \):
\[
f(3) = 3 \cdot (1.2)^3 = 3 \cdot 1.728 = 5.184
\]

Let's say your table has some values missing. You can use this process to compute any \( f(x) \) value.

Once you provide an \( x \) value or a specific part of the table, I can directly calculate the missing value for you.