Consider the function y = f(x) whose graph is given below. For all the questions, answer for all x on the interval (-2, 4). i. List all the critical numbers for f(x). ii. When is f'(x) < 0? Answers should be intervals. iii. When is f'(x) > 0? Answers should be intervals. iv. List all inflection points for the graph of f(x). v. List the x-values of all global maximums for f(x).

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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Consider the function \( y = f(x) \) whose graph is given below. For all the questions, answer for all \( x \) on the interval \((-2, 4)\).

**Graph Description:**
- The graph is a continuous curve that shows the behavior of the function \( f(x) \) over the interval \((-2, 4)\).
- It has a wavy pattern with several peaks and valleys.
- The x-axis ranges from -2 to 4, and the y-axis is marked with integers.

**Questions:**

i. List all the critical numbers for \( f(x) \).

ii. When is \( f'(x) < 0 \)? Answers should be intervals.

iii. When is \( f'(x) > 0 \)? Answers should be intervals.

iv. List all inflection points for the graph of \( f(x) \).

v. List the \( x \)-values of all global maximums for \( f(x) \).
Transcribed Image Text:Consider the function \( y = f(x) \) whose graph is given below. For all the questions, answer for all \( x \) on the interval \((-2, 4)\). **Graph Description:** - The graph is a continuous curve that shows the behavior of the function \( f(x) \) over the interval \((-2, 4)\). - It has a wavy pattern with several peaks and valleys. - The x-axis ranges from -2 to 4, and the y-axis is marked with integers. **Questions:** i. List all the critical numbers for \( f(x) \). ii. When is \( f'(x) < 0 \)? Answers should be intervals. iii. When is \( f'(x) > 0 \)? Answers should be intervals. iv. List all inflection points for the graph of \( f(x) \). v. List the \( x \)-values of all global maximums for \( f(x) \).
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