Explain why f(x) has a relative minimum at x=6. Ay 50- 40- 30- 26 10 10-8-6 -4 Ro 4 8 10 20 30 40 50 y=f'(x) The function f(x) has a relative minimum at x = 6 because f'(6) = and f'(x) is for values less than 6 and for values greater than 6. zero negative positive

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Explain why f(x) has a relative minimum at x = 6.
Ay
50-
40-
30-
26
10-
10-8 -6-4 40-
24
8 10
20
-30
-40-
50
y=f'(x)
V for values less than 6
The function f(x) has a relative minimum at x = 6 because f'(6) = and f'(x) is
and
for values greater than
zero
negative
positive
Transcribed Image Text:Explain why f(x) has a relative minimum at x = 6. Ay 50- 40- 30- 26 10- 10-8 -6-4 40- 24 8 10 20 -30 -40- 50 y=f'(x) V for values less than 6 The function f(x) has a relative minimum at x = 6 because f'(6) = and f'(x) is and for values greater than zero negative positive
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