ntify the open intervals where the function f(x)=x√√4-22 is increasing or decreasing. lect one: O a. increasing (-1, 1); decreasing (-2,-1) and (1,2) O b. decreasing on (-∞, ∞). Oc. increasing (-√2, √2); decreasing (-2,-√2) and (√2, 2) Od. increasing (-2,-√2) and (√2, 2); decreasing (-√2, √√2)

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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**Problem Statement:**

Identify the open intervals where the function \( f(x) = x \cdot \sqrt{4 - x^2} \) is increasing or decreasing.

**Options:**

- **a.** Increasing: \((-1, 1)\); Decreasing: \((-2, -1)\) and \((1, 2)\)
- **b.** Decreasing on \((-\infty, \infty)\)
- **c.** Increasing: \((- \sqrt{2}, \sqrt{2})\); Decreasing: \((-2, -\sqrt{2})\) and \((\sqrt{2}, 2)\)
- **d.** Increasing: \((-2, -\sqrt{2})\) and \((\sqrt{2}, 2)\); Decreasing: \((- \sqrt{2}, \sqrt{2})\)
Transcribed Image Text:**Problem Statement:** Identify the open intervals where the function \( f(x) = x \cdot \sqrt{4 - x^2} \) is increasing or decreasing. **Options:** - **a.** Increasing: \((-1, 1)\); Decreasing: \((-2, -1)\) and \((1, 2)\) - **b.** Decreasing on \((-\infty, \infty)\) - **c.** Increasing: \((- \sqrt{2}, \sqrt{2})\); Decreasing: \((-2, -\sqrt{2})\) and \((\sqrt{2}, 2)\) - **d.** Increasing: \((-2, -\sqrt{2})\) and \((\sqrt{2}, 2)\); Decreasing: \((- \sqrt{2}, \sqrt{2})\)
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