(6) Sketch a graph of a function, f, that has the following properties: • lim f(x) = 3 and lim f(x) = -3 8118 f'>0 and f"> 0 on (-∞, -5) • lim_ f(x)=x 2115 • f'<0 and f">0 on (-5,0) and (5,00) f is continuous at r = 0 y 10t -10 -5 -5 0 • fis NOT differentiable at z = 0 • f(0) = 5 f has a limit that exists at r = 5 but is not continuous at z = 5 10 5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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(6) Sketch a graph of a function, f, that has the following properties:
●
• lim f(x) = 3 and lim f(x) = -3
f is NOT differentiable at z = 0
• f'>0 and f"> 0 on (-∞, -5)
• f(0) = 5
• lim f(x)=
f has a limit that exists at z = 5 but is
not continuous at x = 5
111
.
• f'<0 and f">0 on (-5,0) and (5,00)
f is continuous at r = 0
y 10
10
-10
-5
-5
0
-5
-10
5
X
Transcribed Image Text:(6) Sketch a graph of a function, f, that has the following properties: ● • lim f(x) = 3 and lim f(x) = -3 f is NOT differentiable at z = 0 • f'>0 and f"> 0 on (-∞, -5) • f(0) = 5 • lim f(x)= f has a limit that exists at z = 5 but is not continuous at x = 5 111 . • f'<0 and f">0 on (-5,0) and (5,00) f is continuous at r = 0 y 10 10 -10 -5 -5 0 -5 -10 5 X
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