f(x) = 2x + 3 5 -4x+9 427 4 x-6 for a < 1 for x = 1 for 1 < x < 3 for x = = 3 for x>3 AMM Let f be the piecewise function defined above. Which of the following statements is false? (A) f is continuous at x = 1. (B) f is continuous at x = 2. (C) fis continuous at x = 3. (D) fis continuous at x = 4. Dog TA

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
1.
2.
2x + 3 for a < 1
for x = 1
5
f(x) = 4x +9 for 1 < x < 3
for x = 3
for x > 3
4
x - 6
0 €
Let f be the piecewise function defined above. Which of the following statements is false?
(A)
f is continuous at x = 1.
(B)
f is continuous at x = 2.
(C) fis continuous at x =
= 3.
(D) f is continuous at x = 4.
le 1silbe
InoroplaeA 19mm SSS
paq ort
art of Yok
TA
veb s
eini
on Tu
4-
16,00
18
3x³+2x²
Let f be the function defined by f(x) = 3+222. Which of the following statements is true?
M
quoy ni nant el cl
1
teodon
(A)
f has a discontinuity due to a vertical asymptote at x = 0 and at x = 1.
(B) f has a removable discontinuity at x = 0 and a jump discontinuity at a = 1.
(C) f has a removable discontinuity at x = 0 and a discontinuity due to a vertical asymptote at x = 1.
(D) f is continuous at x = 0, and f has a discontinuity due to a vertical asymptote at x = 1.
no 100
AM
innsk
VIC
Doyl stelam
af dy 100
100GH
dux
FarbalA 902
soice
palvel
Transcribed Image Text:1. 2. 2x + 3 for a < 1 for x = 1 5 f(x) = 4x +9 for 1 < x < 3 for x = 3 for x > 3 4 x - 6 0 € Let f be the piecewise function defined above. Which of the following statements is false? (A) f is continuous at x = 1. (B) f is continuous at x = 2. (C) fis continuous at x = = 3. (D) f is continuous at x = 4. le 1silbe InoroplaeA 19mm SSS paq ort art of Yok TA veb s eini on Tu 4- 16,00 18 3x³+2x² Let f be the function defined by f(x) = 3+222. Which of the following statements is true? M quoy ni nant el cl 1 teodon (A) f has a discontinuity due to a vertical asymptote at x = 0 and at x = 1. (B) f has a removable discontinuity at x = 0 and a jump discontinuity at a = 1. (C) f has a removable discontinuity at x = 0 and a discontinuity due to a vertical asymptote at x = 1. (D) f is continuous at x = 0, and f has a discontinuity due to a vertical asymptote at x = 1. no 100 AM innsk VIC Doyl stelam af dy 100 100GH dux FarbalA 902 soice palvel
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