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

(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
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Solution

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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 \( 702.0 \).

Thus, the answers are:

  • Absolute Minimum: \\(\boxed{-1298.0}\\)
  • Absolute Maximum: \\(\boxed{702.0}\\)
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