Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute. f(x) = V36 –x², - 6sx< 6 .....
Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute. f(x) = V36 –x², - 6sx< 6 .....
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:**Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.**
Given function: \( f(x) = \sqrt{36 - x^2}, \quad -6 \leq x < 6 \)
**Options:**
- **A.** Local and absolute minimum: 0 at \( x = -6 \) and \( x = 6 \)
Local and absolute maximum: 6 at \( x = 0 \)
- **B.** Local and absolute minimum: 6 at \( x = 0 \)
Local and absolute maximum: 0 at \( x = -6 \)
- **C.** No local extrema
No absolute extrema
- **D.** Local and absolute minimum: 0 at \( x = -6 \)
Local and absolute maximum: 6 at \( x = 0 \)
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