Consider the following graph. f(x) (a) Identify the input value(s) where the slope of the function is zero. Oxa 8 (-∞, ∞) O none Identify the input value(s) where the slope of the function reaches a relative maximum value. Oxa 0 (-∞0,00) Onone O (-∞0,00) Onone a Identify the input value(s) where the slope of the function reaches a relative minimum value. Oxa x 0 (-00,00) O none (b) Indicate the input interval over which the slope of the function is positive. Oxa O (-∞, ∞) Onone Indicate the input interval over which the slope of the function is negative. Ox a

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 following graph.
f(x)
(a) Identify the input value(s) where the slope of the function is zero.
Ox<a
Ox=a
Ox> a
O (-∞,00)
Onone
Identify the input value(s) where the slope of the function reaches a relative maximum value.
Ox<a
Ox=a
Ox>a
0 (-00,00)
O none
a
Identify the input value(s) where the slope of the function reaches a relative minimum value.
Ox<a
Ox=a
Ox> a
0 (-∞0,00)
O none
(b) Indicate the input interval over which the slope of the function is positive.
Ox<a
Ox=a
Ox> a
0 (-∞0,00)
Onone
Indicate the input interval over which the slope of the function is negative.
Ox<a
Ox=a
Ox>a
0 (-00,00)
O none
Indicate the input interval over which the slope of the function is increasing.
Ox<a
Ox-a
Ox>a
0 (-00,00)
Onone
Transcribed Image Text:Consider the following graph. f(x) (a) Identify the input value(s) where the slope of the function is zero. Ox<a Ox=a Ox> a O (-∞,00) Onone Identify the input value(s) where the slope of the function reaches a relative maximum value. Ox<a Ox=a Ox>a 0 (-00,00) O none a Identify the input value(s) where the slope of the function reaches a relative minimum value. Ox<a Ox=a Ox> a 0 (-∞0,00) O none (b) Indicate the input interval over which the slope of the function is positive. Ox<a Ox=a Ox> a 0 (-∞0,00) Onone Indicate the input interval over which the slope of the function is negative. Ox<a Ox=a Ox>a 0 (-00,00) O none Indicate the input interval over which the slope of the function is increasing. Ox<a Ox-a Ox>a 0 (-00,00) Onone
Indicate the input interval over which the slope of the function is decreasing.
Ox<a
O x = a
Ox> a
0 (-∞0, ∞)
O none
(c) Sketch a slope graph of the function.
f'(x)
f'(x)
a
a
X
X
f'(x)
f'(X)
a
a
X
Transcribed Image Text:Indicate the input interval over which the slope of the function is decreasing. Ox<a O x = a Ox> a 0 (-∞0, ∞) O none (c) Sketch a slope graph of the function. f'(x) f'(x) a a X X f'(x) f'(X) a a X
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