6. What type of discontinuity at x = 1 is in the function f(x) =? (A) infinite discontinuity (C) removable discontinuity (B) jump discontinuity (D) f is continuous at 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Please answer 6, 7, & 8. Thank you.

5. Let f(x) be the function f(x) = * , T*<7 What is the value of c that
14х + 3с ifx>7
makes the function f(x) continuous for all real numbers.
(A) 21/4
(B) 21/2
(C) 49/3
(D) 77/4
6. What type of discontinuity at x = 1 is in the function f(x) =?
(B) jump discontinuity
(D) f is continuous at 1
(A) infinite discontinuity
(C) removable discontinuity
7. How should the function f(x) :
1-x?
be defined so that it will be continuous at x = -1?
1+x
(A) f(-1) = -2
(C) f(-1) = 2
(В) f(-1) 3D0
(D) f(-1) = +0
if x<1
8. Which of the following intervals is f(x) = {x – 1 if x21
(2x
continuous?
(A) (0,1]
(B) [0,1]
(C) (1,2)
(D) [-1,2]
Transcribed Image Text:5. Let f(x) be the function f(x) = * , T*<7 What is the value of c that 14х + 3с ifx>7 makes the function f(x) continuous for all real numbers. (A) 21/4 (B) 21/2 (C) 49/3 (D) 77/4 6. What type of discontinuity at x = 1 is in the function f(x) =? (B) jump discontinuity (D) f is continuous at 1 (A) infinite discontinuity (C) removable discontinuity 7. How should the function f(x) : 1-x? be defined so that it will be continuous at x = -1? 1+x (A) f(-1) = -2 (C) f(-1) = 2 (В) f(-1) 3D0 (D) f(-1) = +0 if x<1 8. Which of the following intervals is f(x) = {x – 1 if x21 (2x continuous? (A) (0,1] (B) [0,1] (C) (1,2) (D) [-1,2]
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