VIII. Consider the function f that satisfies the following: • f is continuous everywhere except at x = 2, • the only intercept points of the graph of f are (-4, 0). (0,0) and (5, 0). • lim f(x) = -x, lim f(x) = +x, lim f(x) = 2, lim f(x) = 2, and %3D %3D X-+2 x2- • the table of signs for f' and f" is given below: (-x, -4) f'(x) f"(x) (-4, -2) -2 (-2,2) 2 (2, +x) und. und. und. und. 1. Give equations of the two linear asymptotes of the graph of f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Determine the intervals where f is increasing or decreasing and where f is concave up or concave down. Identify the relative extremum points and points of inflection if there are any.
VIII. Consider the function f that satisfies the following:
• f is continuous everywhere except at x = 2,
• the only intercept points of the graph of f are (-4,0). (0,0) and (5, 0).
• lim f(x) = -x, lim f(x) = +x, lim f(x) = 2, lim f(x) = 2, and
%3D
%3D
X-+2
• the table of signs for f' and f" is given below:
(-x, -4)
f'(x)
f"(x)
(-4, -2) -2 (-2,2)
2
(2, +0)
und.
und.
und.
und.
1. Give equations of the two linear asymptotes of the graph of f.
Transcribed Image Text:VIII. Consider the function f that satisfies the following: • f is continuous everywhere except at x = 2, • the only intercept points of the graph of f are (-4,0). (0,0) and (5, 0). • lim f(x) = -x, lim f(x) = +x, lim f(x) = 2, lim f(x) = 2, and %3D %3D X-+2 • the table of signs for f' and f" is given below: (-x, -4) f'(x) f"(x) (-4, -2) -2 (-2,2) 2 (2, +0) und. und. und. und. 1. Give equations of the two linear asymptotes of the graph of f.
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