The relation `f` is defined by `f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10`The relation `g` is defined by `g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10`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 \( x \) in the domain corresponds to exactly one output \( y \) in the codomain.

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

The relation \( f \) is defined as follows:
- \( f(x) = x^2 \) for \( 0 < x < 3 \)
- \( f(x) = 3x \) for \( 3 \leq x \leq 10 \)

...