A graphing calculator or computer algebra system is recommended. f'(x) and its graph are given. Use the graph of f'(x) to determine the following. f'(x)=x²-x-6 -6 concave up -4 concave down X = y 10 (a) Where is the graph of f(x) concave up and where is it concave down? (Enter your answers using interval notation.) (c) Find f'(x). f"(x) = 2 4 X (b) Where does f(x) have any points of inflection? (Enter your answers as a comma-separated list.)

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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A graphing calculator or computer algebra system is recommended.
f'(x) and its graph are given. Use the graph of f'(x) to determine the following.
f(x)=x²-x - 6
-6
concave up
-4
concave down
X =
y
10
Ⓡ
(a) Where is the graph of f(x) concave up and where is it concave down? (Enter your answers using interval notation.)
2
(c) Find F"(x).
f"(x) =
4
X
(b) Where does f(x) have any points of inflection? (Enter your answers as a comma-separated list.)
Transcribed Image Text:A graphing calculator or computer algebra system is recommended. f'(x) and its graph are given. Use the graph of f'(x) to determine the following. f(x)=x²-x - 6 -6 concave up -4 concave down X = y 10 Ⓡ (a) Where is the graph of f(x) concave up and where is it concave down? (Enter your answers using interval notation.) 2 (c) Find F"(x). f"(x) = 4 X (b) Where does f(x) have any points of inflection? (Enter your answers as a comma-separated list.)
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