To determine a function [tex]\( f(x) \)[/tex] such that [tex]\( f(5) = 2 \)[/tex], we can consider various possible forms of functions. Here, we'll construct one straightforward example of such a function.
1. Constant Function:
A simple function that satisfies [tex]\( f(5) = 2 \)[/tex] is a constant function. A constant function has the same output value irrespective of the input. In this case, we define:
[tex]\[
f(x) = 2
\][/tex]
For any value of [tex]\( x \)[/tex], the function always returns 2. Specifically, when [tex]\( x = 5 \)[/tex]:
[tex]\[
f(5) = 2
\][/tex]
Hence, the constant function [tex]\( f(x) = 2 \)[/tex] meets the requirement.
This is one example of many possible functions that could satisfy the condition [tex]\( f(5) = 2 \)[/tex]. Other forms could include piecewise functions or more complex definitions, but a constant function is the simplest and most straightforward example.
