1) Sketch the graph of a continuous function f satisfying all of the following properties. a) f has domain (-0, o0) and is neither an odd function nor an even function. b) f(-4) = 0, f(-2) = -3, f(0) = 0, and f(2) = -3. c) lim f(x) = 3 and lim f(x) = -o. x -00 X00

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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1a. 1b. 1c.

1)
Sketch the graph of a continuous function f satisfying all of the following properties.
a) f has domain (-o0, o0) and is neither an odd function nor an even function.
b) f(-4) = 0, f(-2) = -3, f(0) = 0, and f(2) = -3.
c) lim f(x) = 3 and lim f(x) = -00.
X -oc
X00
d) f'(x) < 0 on (-o, -2) and on (0, 0).
e) f'(x) > 0 on (-2,0).
f) f"(x) < 0 on (-o, -4) and on (2, 0).
g) f"(x) > 0 on (-4, 0) and on (0, 2).
Transcribed Image Text:1) Sketch the graph of a continuous function f satisfying all of the following properties. a) f has domain (-o0, o0) and is neither an odd function nor an even function. b) f(-4) = 0, f(-2) = -3, f(0) = 0, and f(2) = -3. c) lim f(x) = 3 and lim f(x) = -00. X -oc X00 d) f'(x) < 0 on (-o, -2) and on (0, 0). e) f'(x) > 0 on (-2,0). f) f"(x) < 0 on (-o, -4) and on (2, 0). g) f"(x) > 0 on (-4, 0) and on (0, 2).
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