Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) y = xV 36 - x2 - X" increasing decreasing

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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**Determine Increasing and Decreasing Intervals of a Function**

**Problem:**

Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)

\[ y = x \sqrt{36 - x^2} \]

- **Increasing Intervals:**
  - [Textbox for input]

- **Decreasing Intervals:**
  - [Textbox for input]

**Guidance:**
Consider using calculus techniques such as finding the derivative to determine where the function is increasing or decreasing. Analyze critical points and test intervals around these points.
Transcribed Image Text:**Determine Increasing and Decreasing Intervals of a Function** **Problem:** Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) \[ y = x \sqrt{36 - x^2} \] - **Increasing Intervals:** - [Textbox for input] - **Decreasing Intervals:** - [Textbox for input] **Guidance:** Consider using calculus techniques such as finding the derivative to determine where the function is increasing or decreasing. Analyze critical points and test intervals around these points.
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