Refer to the figure below. f(x) 10 -4 -2 8 -10 Graphically estimate the values for the function f. (a) lim f(x) x6 lim fx) (b) x6 (c) f(6) (d) Is f continuous at x 6 OYes. The function fis continuous at x 6 because the limit exists and is equal to the output value at x 6 O No. The function fis not continuous at x = 6 because the left portion of fas x approaches 6 from the left and the right portion of f as x approaches 6 from the right approach different values. ONo. The function fis not continuous at x = 6 because even though the limit exists at x 6 it does not equal the output value of the function for x 6 O No. The function fis not continuous at x = because even though the limit exists, the function is not defined at x = 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
Refer to the figure below.
f(x)
10
-4
-2
8
-10
Graphically estimate the values for the function f.
(a)
lim f(x)
x6
lim fx)
(b)
x6
(c)
f(6)
(d) Is f continuous at x 6
OYes. The function fis continuous at x
6 because the limit exists and is equal to the output value at x 6
O No. The function fis not continuous at x = 6 because the left portion of fas x approaches 6 from the left and the right portion of f as x approaches 6 from the right approach different values.
ONo. The function fis not continuous at x = 6 because even though the limit exists at x
6 it does not equal the output value of the function for x 6
O No. The function fis not continuous at x =
because even though the limit exists, the function is not defined at x = 6
Transcribed Image Text:Refer to the figure below. f(x) 10 -4 -2 8 -10 Graphically estimate the values for the function f. (a) lim f(x) x6 lim fx) (b) x6 (c) f(6) (d) Is f continuous at x 6 OYes. The function fis continuous at x 6 because the limit exists and is equal to the output value at x 6 O No. The function fis not continuous at x = 6 because the left portion of fas x approaches 6 from the left and the right portion of f as x approaches 6 from the right approach different values. ONo. The function fis not continuous at x = 6 because even though the limit exists at x 6 it does not equal the output value of the function for x 6 O No. The function fis not continuous at x = because even though the limit exists, the function is not defined at x = 6
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