2. Consider the function f that satisfies the following: • f is continuous everywhere except at x = -1, 2, f has an x-intercept at x = 1, f has a y-intercept at y -1, a. ● == lim f(x) = =1∞ = lim f(x), lim f(x) = +∞ = lim f(x), lim f(x) = 0, and x-1- x→-1+ x-2- x→2+ the table of signs for f' and f" are given below: (-∞, -1) -1 und. und. (-1,1) 1 (1,2) + 0 + 8+← 2 (2, +∞) und. f'(x) f"(x) Give equations of the three linear asymptotes of the graph of f. 0 + und. +

Calculus: Early Transcendentals
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Author:James Stewart
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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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Give three equations to the three linear asymptotes to the graph of f

2. Consider the function f that satisfies the following:
• f is continuous everywhere except at x = : -1,2,
f has an x-intercept at x = 1,
• f has a y-intercept at y
=
= −1,
a.
lim f(x) =∞ = lim f(x), lim f(x) = +∞ = lim f(x), lim f(x) = 0, and
x→-1-
x→-1+
x→2-
x→2+
x →±∞
the table of signs for f' and f" are given below:
(-∞, -1) -1
und.
und.
(−1,1) 1
+ 0
0
(1,2)
+
+
2
und.
und.
(2, +∞)
f'(x)
f"(x)
Give equations of the three linear asymptotes of the graph of f.
+
Transcribed Image Text:2. Consider the function f that satisfies the following: • f is continuous everywhere except at x = : -1,2, f has an x-intercept at x = 1, • f has a y-intercept at y = = −1, a. lim f(x) =∞ = lim f(x), lim f(x) = +∞ = lim f(x), lim f(x) = 0, and x→-1- x→-1+ x→2- x→2+ x →±∞ the table of signs for f' and f" are given below: (-∞, -1) -1 und. und. (−1,1) 1 + 0 0 (1,2) + + 2 und. und. (2, +∞) f'(x) f"(x) Give equations of the three linear asymptotes of the graph of f. +
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