4. (a) Use the graph of g" below to find where g is concave up, is concave down, and has inflection points. Too 8" 2 1 2 (b) If g'(-1.5) = 0, explain whether g has a local maximum, local minimum, or neither at -1.5
4. (a) Use the graph of g" below to find where g is concave up, is concave down, and has inflection points. Too 8" 2 1 2 (b) If g'(-1.5) = 0, explain whether g has a local maximum, local minimum, or neither at -1.5
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 4**
(a) Use the graph of \( g'' \) below to find where \( g \) is concave up, is concave down, and has inflection points.
[Graph Description]
- The graph represents the second derivative \( g'' \) of a function \( g \).
- The x-axis is marked with integers; the y-axis is marked with 1 and 2.
- The curve starts in the positive y-region, drops below the x-axis, reaches a minimum, and rises back above the x-axis.
- The curve crosses the x-axis between the values of 0 and 1, and again between 1 and 2.
(b) If \( g'(-1.5) = 0 \), explain whether \( g \) has a local maximum, local minimum, or neither at \(-1.5\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F442cdeaf-d6f5-4c90-9eca-defd0049fe9f%2F75534143-f08b-427c-9626-1a1702a122c6%2Fwc820s_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 4**
(a) Use the graph of \( g'' \) below to find where \( g \) is concave up, is concave down, and has inflection points.
[Graph Description]
- The graph represents the second derivative \( g'' \) of a function \( g \).
- The x-axis is marked with integers; the y-axis is marked with 1 and 2.
- The curve starts in the positive y-region, drops below the x-axis, reaches a minimum, and rises back above the x-axis.
- The curve crosses the x-axis between the values of 0 and 1, and again between 1 and 2.
(b) If \( g'(-1.5) = 0 \), explain whether \( g \) has a local maximum, local minimum, or neither at \(-1.5\).
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