1. Determine the following information regarding each function step by step and then sketch f (x) = x4 – 6x² its graph of f(x ) f'(x ) f"(x) • Intervals of increase Intervals of concavity Coordinates of any points of inflection Domain x and y intercepts Vertical asymptote(s) and behaviour of f(x) at vertical asymptote(s) (one-sided limits) Horizontal/Oblique asymptote and end behaviour of f(x) (limits to infinity) and decrease • Coordinates of any local/absolute maximum and minimum points

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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1. Determine the following information regarding each function step by step and then sketch
f (x) = x4 – 6x²
its graph of
f(x )
f'(x )
f"(x)
• Intervals of increase
Intervals of concavity
Coordinates of any
points of inflection
Domain
x and y intercepts
Vertical
asymptote(s) and
behaviour of f(x) at
vertical asymptote(s)
(one-sided limits)
Horizontal/Oblique
asymptote and end
behaviour of f(x)
(limits to infinity)
and decrease
• Coordinates of any
local/absolute
maximum and
minimum points
Transcribed Image Text:1. Determine the following information regarding each function step by step and then sketch f (x) = x4 – 6x² its graph of f(x ) f'(x ) f"(x) • Intervals of increase Intervals of concavity Coordinates of any points of inflection Domain x and y intercepts Vertical asymptote(s) and behaviour of f(x) at vertical asymptote(s) (one-sided limits) Horizontal/Oblique asymptote and end behaviour of f(x) (limits to infinity) and decrease • Coordinates of any local/absolute maximum and minimum points
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