Find the average rate of change of the function $$ f(x)=3 x $$ from $$ x_{1}=0 $$ to $$ x_{2}=4 $$.

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1. The average rate of change of the function $$ f(x) $$ between two points $$ x_1 $$ and $$ x_2 $$ is given by
   $$
   \frac{f(x_2)-f(x_1)}{x_2-x_1}.
   $$

2. For the function $$ f(x)=3x $$, substitute $$ x_1=0 $$ and $$ x_2=4 $$:
   $$
   f(0)=3\cdot 0=0 \quad \text{and} \quad f(4)=3\cdot 4=12.
   $$

3. Substitute these values into the formula:
   $$
   \frac{f(4)-f(0)}{4-0} = \frac{12-0}{4} = \frac{12}{4} = 3.
   $$

4. Therefore, the average rate of change of $$ f(x) $$ from $$ x=0 $$ to $$ x=4 $$ is $$ 3 $$.
The average rate of change of $$ f(x) = 3x $$ from $$ x=0 $$ to $$ x=4 $$ is 3.

Find the average rate of change of the function \( f(x)=3 x \) from \( x_{1}=0 \) to \( x_{2}=4 \).

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