Question
Determine the absolute maximum value of the function ff, shown below, on the interval open square bracket, minus, 9, comma, 9, close square bracket, .[−9,9].
Answers
Answered by
GPT-4o mini
To determine the absolute maximum value of the function \( f(x) \) on the closed interval \([-9,9]\), we need to follow these steps:
1. **Find Critical Points**: Calculate the derivative of \( f(x) \), set it equal to zero, and solve for \( x \) to find any critical points within the interval \([-9, 9]\).
2. **Evaluate the Function at Critical Points and Endpoints**: Once we have the critical points, we will evaluate \( f(x) \) at those points, as well as at the endpoints \( x = -9 \) and \( x = 9 \).
3. **Determine the Maximum Value**: Compare all the values obtained in step 2 to find the absolute maximum value on the interval.
Since you haven't specified the function \( f(x) \), I can't perform these steps without that information.
If you provide the actual function \( f(x) \), I can assist you further to find the absolute maximum value on the specified interval.
1. **Find Critical Points**: Calculate the derivative of \( f(x) \), set it equal to zero, and solve for \( x \) to find any critical points within the interval \([-9, 9]\).
2. **Evaluate the Function at Critical Points and Endpoints**: Once we have the critical points, we will evaluate \( f(x) \) at those points, as well as at the endpoints \( x = -9 \) and \( x = 9 \).
3. **Determine the Maximum Value**: Compare all the values obtained in step 2 to find the absolute maximum value on the interval.
Since you haven't specified the function \( f(x) \), I can't perform these steps without that information.
If you provide the actual function \( f(x) \), I can assist you further to find the absolute maximum value on the specified interval.