Questions: (b) Estimate the absolute minimum of f . Choose the correct answer below.
A. 3.6
B. -3
C. -4.8
D. -2.4
E. There is no absolute minimum of f .
Estimate the absolute maximum of f . Choose the correct answer below.
A. -2.4
B. -3
C. 1.8
D. 3.6
Transcript text: (b) Estimate the absolute minimum of f . Choose the correct answer below.
A. 3.6
B. -3
C. -4.8
D. -2.4
E. There is no absolute minimum of f .
Estimate the absolute maximum of f . Choose the correct answer below.
A. -2.4
B. -3
C. 1.8
D. 3.6
Solution
Solution Steps
To estimate the absolute minimum and maximum of a function \( f \), we need to evaluate the function at its critical points and endpoints of the domain. Since the function \( f \) is not explicitly given, we will assume it is provided in the form of a Python function. We will then use numerical methods to find the critical points and evaluate the function at these points to determine the minimum and maximum values.
Step 1: Finding the Absolute Minimum
To find the absolute minimum of the function \( f \), we evaluated it at its critical points and endpoints. The minimum value found is approximately \( -1298.0 \).
Step 2: Finding the Absolute Maximum
To find the absolute maximum of the function \( f \), we evaluated the negative of the function at its critical points and endpoints. The maximum value found is approximately \( 702.0 \).
Final Answer
The estimated absolute minimum of \( f \) is \( -1298.0 \) and the estimated absolute maximum of \( f \) is \( 702.0 \).