Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5 x²-x-2 C) f(x) = D) f(x) = %3D x-2 x2+7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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Question
Which of the following is continuous at all points?
A) f(x) =
x2-4x-5
%3D
B) f(x) =
x²+2x-35
Xー5
ズ-5
x²-x-2
C) f(x) =
D) f(x) =
x²+7
x-2
. Which of the following is continuous at all points?
C) f(x) = !
D) f(x) = tan x
A) f(x) = x?
%3D
3
B) f(x) =
x+1
Why is f(x) =
3
discontinuous at x = - 5?
x+5
C) vertical asymptote
A) hole
B) jump discontinuity
D) undefined
x²-25
Why is f(x) =
discontinuous at x = 5?
x-5
C) vertical asymptote
D) undefined
A) hole
B) jump discontinuity
(x²-3x-4
if x>-1
(x-4 if x < -1
Why is f(x) =
x-4
discontinuous at x = -1?
A) hole
C) vertical asymptote
B) jump discontinuity
D) undefined
In the f(x) =?
%3D
x+3
A) is continuous at all points
B) is continuous at all points except at x= 3
C) is continuous at all points except at x= -3
D) cannot be determined
Transcribed Image Text:Which of the following is continuous at all points? A) f(x) = x2-4x-5 %3D B) f(x) = x²+2x-35 Xー5 ズ-5 x²-x-2 C) f(x) = D) f(x) = x²+7 x-2 . Which of the following is continuous at all points? C) f(x) = ! D) f(x) = tan x A) f(x) = x? %3D 3 B) f(x) = x+1 Why is f(x) = 3 discontinuous at x = - 5? x+5 C) vertical asymptote A) hole B) jump discontinuity D) undefined x²-25 Why is f(x) = discontinuous at x = 5? x-5 C) vertical asymptote D) undefined A) hole B) jump discontinuity (x²-3x-4 if x>-1 (x-4 if x < -1 Why is f(x) = x-4 discontinuous at x = -1? A) hole C) vertical asymptote B) jump discontinuity D) undefined In the f(x) =? %3D x+3 A) is continuous at all points B) is continuous at all points except at x= 3 C) is continuous at all points except at x= -3 D) cannot be determined
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