Find the average value of the function $f(x)=x^{2}-9$ on $[0,9]$
The average value of the function $f(x)=x^{2}-9$ on $[0,9]$ is

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Final Answer: The average value of the function $f(x)=x^{2}-9$ on $[0,9]$ is $\boxed{18}$.

Steps

Step 1 ：The average value of a function $f(x)$ on the interval $[a,b]$ is given by the formula: \[\frac{1}{b-a}\int_{a}^{b}f(x)dx\]

Step 2 ：We need to find the average value of the function $f(x)=x^{2}-9$ on $[0,9]$.

Step 3 ：To do this, we compute the integral of $f(x)$ from 0 to 9 and then divide by 9-0.

Step 4 ：The result of this calculation is 18.

Step 5 ：Final Answer: The average value of the function $f(x)=x^{2}-9$ on $[0,9]$ is $\boxed{18}$.