In Exercises 75–78, sketch the graph of a function y = f(x) that satis- fies the given conditions. No formulas are required-just label the coordinate axes and sketch an appropriate graph. (The answers are not unique, so your graphs may not be exactly like those in the answer section.) 75. f(0) = 0, f(1) = 2, f(-1) = -2, lim f(x) = -1, and x--00 lim f(x) = 1 76. f(0) = 0, lim f(x) = 0, lim f(x) = 2, and lim f(x) = -2 x→0* %3D 77. f(0) = 0, lim f(x) = 0, lim f(x) = lim f(x) = ∞, x-too x→1- x--1+ = -0, and lim f(x) = -∞ lim f(x) x→1* 78. f(2) = 1, f(-1) = 0, lim f(x) = 0, lim f(x) = ∞, x→0* lim f(x) = -00, and lim f(x) = 1 X -00

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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In Exercises 75–78, sketch the graph of a function y = f(x) that satis-
fies the given conditions. No formulas are required-just label the
coordinate axes and sketch an appropriate graph. (The answers are not
unique, so your graphs may not be exactly like those in the answer
section.)
75. f(0) = 0, f(1) = 2, f(-1) = -2, lim f(x) = -1, and
x--00
lim f(x) = 1
76. f(0) = 0, lim f(x) = 0, lim f(x) = 2, and lim f(x) = -2
x→0*
%3D
77. f(0) = 0, lim f(x) = 0, lim f(x) = lim f(x) = ∞,
x-too
x→1-
x--1+
= -0, and lim f(x) = -∞
lim f(x)
x→1*
78. f(2) = 1, f(-1) = 0, lim f(x) = 0, lim f(x) = ∞,
x→0*
lim f(x) = -00, and lim f(x) = 1
X -00
Transcribed Image Text:In Exercises 75–78, sketch the graph of a function y = f(x) that satis- fies the given conditions. No formulas are required-just label the coordinate axes and sketch an appropriate graph. (The answers are not unique, so your graphs may not be exactly like those in the answer section.) 75. f(0) = 0, f(1) = 2, f(-1) = -2, lim f(x) = -1, and x--00 lim f(x) = 1 76. f(0) = 0, lim f(x) = 0, lim f(x) = 2, and lim f(x) = -2 x→0* %3D 77. f(0) = 0, lim f(x) = 0, lim f(x) = lim f(x) = ∞, x-too x→1- x--1+ = -0, and lim f(x) = -∞ lim f(x) x→1* 78. f(2) = 1, f(-1) = 0, lim f(x) = 0, lim f(x) = ∞, x→0* lim f(x) = -00, and lim f(x) = 1 X -00
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