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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ANSWER 6 AND 7, THANK YOU FOR YOUR HELP
![Sx² -c if x < 7
5. Let f(x) be the function f(x) = {4x + 3c if x 27
What is the value of c that
makes the function f (x) continuous for all real numbers.
(C) 49/3
(A) 21/4
6. What type of discontinuity at x = 1 is in the function f(x) =?
(A) infinite discontinuity
(C) removable discontinuity
(B) 21/2
(D) 77/4
x+1
(B) jump discontinuity
(D) f is continuous at 1
7. How should the function f(x) = be defined so that it will be continuous at x = -13
1+x
(A) f(-1) = -2
(C) f(-1) = 2
(B) f(-1) = 0
(D) f(-1) = +0
(2x
lx - 1 if x1
if x<1
8. Which of the following intervals is f(x) =
continuous?
(A) (0,1]
(B) [0,1]
(C) (1,2)
(D) [-1,2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3482ae3-3a69-437e-8d88-3ce1cb2b5571%2Fcd7f2aa3-5c48-4130-9212-5adb0806b273%2Fr9xkltk_processed.png&w=3840&q=75)
Transcribed Image Text:Sx² -c if x < 7
5. Let f(x) be the function f(x) = {4x + 3c if x 27
What is the value of c that
makes the function f (x) continuous for all real numbers.
(C) 49/3
(A) 21/4
6. What type of discontinuity at x = 1 is in the function f(x) =?
(A) infinite discontinuity
(C) removable discontinuity
(B) 21/2
(D) 77/4
x+1
(B) jump discontinuity
(D) f is continuous at 1
7. How should the function f(x) = be defined so that it will be continuous at x = -13
1+x
(A) f(-1) = -2
(C) f(-1) = 2
(B) f(-1) = 0
(D) f(-1) = +0
(2x
lx - 1 if x1
if x<1
8. Which of the following intervals is f(x) =
continuous?
(A) (0,1]
(B) [0,1]
(C) (1,2)
(D) [-1,2]
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