1. The problem is to provide an example of a function with its domain and codomain. 2. A function is a relation where each input (from the domain) is assigned exactly one output (in the codomain). 3. Example: Consider the function $f: \mathbb{R} \to \mathbb{R}$ defined by $f(x) = x^2$. 4. Here, the domain is all real numbers $\mathbb{R}$, meaning $x$ can be any real number. 5. The codomain is also all real numbers $\mathbb{R}$, but the actual outputs (range) are all non-negative real numbers because squaring any real number gives a result $\geq 0$. 6. So, domain: $\mathbb{R}$, codomain: $\mathbb{R}$, function: $f(x) = x^2$. This is a clear example showing domain and codomain.