The relation f is defined by ` f(x) ={(3x+2", "0le x le2),(x^(3)", "2 le x le 5):}.`
The relation g is defined by ` g(x) ={(3x+2", "0le x le1),(x^(3)", "1 le x le 5):}`
Show that f is a function and g is not a function

Explanation

To determine whether the relations \( f \) and \( g \) are functions, we need to check if each input in the domain corresponds to a unique output in the codomain.

### Step 1: Analyze the relation \( f \)

The relation \( f \) is defined as:
\[
f(x) =
\begin{cases}
...