Now consider the equation for the function above: ex+2 + 4, Vx + 3 + 1, х< -3 -3 < x < 1 x = 1 1 < x < 2 - In(x – 2) + 3, x > 2 f(x) 2, 3x, Use the equation and the limit definitions of one- sided and two-sided continuity to verify the conclusions you drew from the graph regarding continuity and discontinuity at each point, then use the limits at positive and negative infinity to verify the end behavior of the function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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-6
-2
Now consider the equation for the function above:
ex+2 + 4,
x < -3
-3 < x < 1
Vx + 3+ 1,
f(x) = { 2,
x = 1
1 < x < 2
x > 2
Зх,
(- In(x – 2) + 3,
Use the equation and the limit definitions of one-
sided and two-sided continuity to verify the
conclusions you drew from the graph regarding
continuity and discontinuity at each point, then
use the limits at positive and negative infinity to
verify the end behavior of the function.
Transcribed Image Text:-6 -2 Now consider the equation for the function above: ex+2 + 4, x < -3 -3 < x < 1 Vx + 3+ 1, f(x) = { 2, x = 1 1 < x < 2 x > 2 Зх, (- In(x – 2) + 3, Use the equation and the limit definitions of one- sided and two-sided continuity to verify the conclusions you drew from the graph regarding continuity and discontinuity at each point, then use the limits at positive and negative infinity to verify the end behavior of the function.
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