Consider the following graph. g(x) C (a) Identify the input value(s) where the slope of the function is zero х3Dа x = b x= C x = 0 O a b O x<0 a b O a c O(o, co) Onone Indicate the input interval(s) over which the slope of the function is decreasing Ox c O (-o, oo) O none (c) Sketch a slope graph of the function. lg'(x) g'(x) a a g'(x) g'(x) a C a C

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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Consider the following graph.
g(x)
C
(a) Identify the input value(s) where the slope of the function is zero
х3Dа
x = b
x= C
x = 0
O a<x < c
Identify the input value(s) where the slope of the function reaches a relative maximum value.
x = a
O x= b
х3D с
O x= 0
a <x C
Identify the input value(s) where the slope of the function reaches a relative minimum value.
х3Dа
x = b
х%3D с
x = 0
Oa<x < c
(b) Indicate the input interval over which the slope of the function is positive
x< b
O x> b
O x<0
a <x C
O(-co, co
Transcribed Image Text:Consider the following graph. g(x) C (a) Identify the input value(s) where the slope of the function is zero х3Dа x = b x= C x = 0 O a<x < c Identify the input value(s) where the slope of the function reaches a relative maximum value. x = a O x= b х3D с O x= 0 a <x C Identify the input value(s) where the slope of the function reaches a relative minimum value. х3Dа x = b х%3D с x = 0 Oa<x < c (b) Indicate the input interval over which the slope of the function is positive x< b O x> b O x<0 a <x C O(-co, co
Indicate the input interval(s) over which the slope of the function is increasing.
Ox> b
O a<x<c
Ox a and x> c
O(o, co)
Onone
Indicate the input interval(s) over which the slope of the function is decreasing
Ox<b
Oa<x<c
Ox< a and x> c
O (-o, oo)
O none
(c) Sketch a slope graph of the function.
lg'(x)
g'(x)
a
a
g'(x)
g'(x)
a
C
a
C
Transcribed Image Text:Indicate the input interval(s) over which the slope of the function is increasing. Ox> b O a<x<c Ox a and x> c O(o, co) Onone Indicate the input interval(s) over which the slope of the function is decreasing Ox<b Oa<x<c Ox< a and x> c O (-o, oo) O none (c) Sketch a slope graph of the function. lg'(x) g'(x) a a g'(x) g'(x) a C a C
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