Sketch the graph of a single function f(x) with all the following properties: f has domain (-00, 1) U(1,∞) • lim+1 f(x) = 2 lim+3+ f(x)=6 limx+3- f(x) = -1 • f(3) = 0 lim-4 f(x)=5 ⚫f is continuous at x = -4 ⚫f is NOT differentiable at x = -4 • lim f(x)=00 x-7 • f(7)=2 lim f(x)=1 200 limo f(x)=- -0
Sketch the graph of a single function f(x) with all the following properties: f has domain (-00, 1) U(1,∞) • lim+1 f(x) = 2 lim+3+ f(x)=6 limx+3- f(x) = -1 • f(3) = 0 lim-4 f(x)=5 ⚫f is continuous at x = -4 ⚫f is NOT differentiable at x = -4 • lim f(x)=00 x-7 • f(7)=2 lim f(x)=1 200 limo f(x)=- -0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 28E
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Explain really simply and show all your work.

Transcribed Image Text:Sketch the graph of a single function f(x) with all the following properties:
f has domain (-00, 1) U(1,∞)
• lim+1 f(x) = 2
lim+3+ f(x)=6
limx+3- f(x) = -1
• f(3) = 0
lim-4 f(x)=5
⚫f is continuous at x = -4
⚫f is NOT differentiable at x = -4
•
lim f(x)=00
x-7
• f(7)=2
lim f(x)=1
200
limo f(x)=-
-0
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