12-13) Which part of the definition of continuity is not x²-x+6 satisfied in f(x) = at x = 2? x-2 A) f(2) exists B) lim f(x) exists X-2 C) lim f (x) = f(2) %3D X-2 D) both A and B 14-15) Which part of the definition of continuity is not x +3 if x # 0 12 satisfied in f (x) = at x = 0? if x 0 A) f(0) exists B) lim f(x) exists ズ→0 C) lim f(x) = f(0) %3D 16-17) Which part of the definition of continuity is x²+x-6 not satisfied in f(x) = at x = 2? %3D x-2

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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12-13) Which part of the definition of continuity is not
x²-x+6
satisfied in f(x) =
at x = 2?
x-2
A) f(2) exists
B) lim f(x) exists
ズ→2
C) lim f(x) = f(2)
x-2
D) both A and B
14-15) Which part of the definition of continuity is not
(x+3 if x # 0
satisfied in f (x) =
12
if x = 0 atx 0?
A) f(0) exists
B) lim f(x) exists
ズ→0
C) lim f(x) = f(0)
%3D
X-0
16-17) Which part of the definition of continuity is
not satisfied in f(x)
x²+x-6
%3D
at x = 2?
x-2
A) f(2) exists
B) lim f(x) exists
ズ→2
C) lim f(x) = f(2)
%3!
D) both A and B
18-19) In which of the following intervals is
f(x) = continuous ?
%3D
A) -3 <x < 3
B) –7 < x<7
C) 1<x<5
D) -3 <x<8
20-21) In which of the following intervals is
f(x) = *+3x-10
A) 1<x <7
B) -5 <x<5
C) 0<x<5
D) -3 <x <1
continuous ?
%3D
X-2
Transcribed Image Text:12-13) Which part of the definition of continuity is not x²-x+6 satisfied in f(x) = at x = 2? x-2 A) f(2) exists B) lim f(x) exists ズ→2 C) lim f(x) = f(2) x-2 D) both A and B 14-15) Which part of the definition of continuity is not (x+3 if x # 0 satisfied in f (x) = 12 if x = 0 atx 0? A) f(0) exists B) lim f(x) exists ズ→0 C) lim f(x) = f(0) %3D X-0 16-17) Which part of the definition of continuity is not satisfied in f(x) x²+x-6 %3D at x = 2? x-2 A) f(2) exists B) lim f(x) exists ズ→2 C) lim f(x) = f(2) %3! D) both A and B 18-19) In which of the following intervals is f(x) = continuous ? %3D A) -3 <x < 3 B) –7 < x<7 C) 1<x<5 D) -3 <x<8 20-21) In which of the following intervals is f(x) = *+3x-10 A) 1<x <7 B) -5 <x<5 C) 0<x<5 D) -3 <x <1 continuous ? %3D X-2
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