Find the x-value at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. 2+x² 3-X (x - 3)² f(x) = X = if x ≤ 0 if 0 < x < 3 if x > 3 (a) Find the x-value at which f is discontinuous. (b) Determine whether f is continuous from the right, or from the left, or neither. O continuous from the right O continuous from the left

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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Find the x-value at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither.
2
2 + x²
x²
3- X
(x - 3)²
f(x)
X =
=
if x ≤ 0
if 0 < x ≤ 3
if x > 3
(a) Find the x-value at which f is discontinuous.
(b) Determine whether f is continuous from the right, or from the left, or neither.
continuous from the right
continuous from the left
neither
(c) Sketch the graph of f. (Select the correct graph.)
Transcribed Image Text:Find the x-value at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. 2 2 + x² x² 3- X (x - 3)² f(x) X = = if x ≤ 0 if 0 < x ≤ 3 if x > 3 (a) Find the x-value at which f is discontinuous. (b) Determine whether f is continuous from the right, or from the left, or neither. continuous from the right continuous from the left neither (c) Sketch the graph of f. (Select the correct graph.)
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