Sketch a graph of y = f(z) so that f is discontinuous at z = 2 but continuous from the left at z = 2. = 2 but A classmate sketched the four graphs given below. In which graph is f discontinuous at z = continuous from the left at x = = 27 4 3 2 y X

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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Sketch a graph of y = f(x) so that f is discontinuous at z = 2 but continuous from the left at z = 2.
A classmate sketched the four graphs given below. In which graph is f discontinuous at x = 2 but
continuous from the left at x = 2?
O
4
3
2
+
-4 -3 -2 -1
1
Question Help:
-2
انی ها
-3
-4
-4 -3 -2 -1
+
4
3
2-
1
-1
-2
-3
y
Video
y
A
23 4
BY
Q
X
D
O
O
-4 -3 -2 -1
-4 -3 -2 -1
2
-2
3
2
1
-2
-3
-4
y
y
X
*
2 3 4
1 2 3
O
a
Hint: A function is continuous from the left at x = a if the limit from the left is equal to the function value
y at x = a. Also, if the two sided limit at x = a exists and it is equal to the function value y at a = a,
then the function is continuous at a.
X
Transcribed Image Text:Sketch a graph of y = f(x) so that f is discontinuous at z = 2 but continuous from the left at z = 2. A classmate sketched the four graphs given below. In which graph is f discontinuous at x = 2 but continuous from the left at x = 2? O 4 3 2 + -4 -3 -2 -1 1 Question Help: -2 انی ها -3 -4 -4 -3 -2 -1 + 4 3 2- 1 -1 -2 -3 y Video y A 23 4 BY Q X D O O -4 -3 -2 -1 -4 -3 -2 -1 2 -2 3 2 1 -2 -3 -4 y y X * 2 3 4 1 2 3 O a Hint: A function is continuous from the left at x = a if the limit from the left is equal to the function value y at x = a. Also, if the two sided limit at x = a exists and it is equal to the function value y at a = a, then the function is continuous at a. X
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