To find the average rate of change of the function \( f(x) \) on the interval \( [1, 4] \), we use the formula for average rate of change:
\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]
where \( a = 1 \) and \( b = 4 \).
We need the values of \( f(1) \) and \( f(4) \). If you can provide the specific function \( f(x) \), I can help calculate the average rate of change. Please let me know the function!