Notice pattern: Notice the pattern: each time x increases by 1, f(x) is halved. This means the base of the exponential function is 21.
Find initial value: To find the exponential function, we need to find the initial value when x=0. From the table, when x=0, f(x)=4. So the initial value is 4.
Identify exponential function: The exponential function is f(x)=a⋅bx, where a is the initial value and b is the base. We have a=4 and b=21.
Write function: Write the function: f(x)=4⋅(21)x.
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