Sx² - c if x <7 5. Let f(x) be the function f(x) = What is the value of c that (4x + 3c if x > 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) =? %3D (A) infinite discontinuity (C) removable discontinuity x2 -1 (B) jump discontinuity (D) f is continuous at 1 1-x? be defined so that it will be continuous at x = -1? 1+x 7. How should the function f(x) = (A) f(-1) = -2 (C) f(-1) = 2 (B) f(-1) = 0 (D) f(-1) = +∞ (2х (x-1 if x >1 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]

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...
icon
Related questions
Question
100%
PLEASE ANSWER ALL
Sx² – c
if x < 7
5. Let f(x) be the function f(x) =
What is the value of c that
(4х + 3с if х27
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) =?
(A) infinite discontinuity
(C) removable discontinuity
x² –1
(B) jump discontinuity
(D) f is continuous at 1
7. How should the function ƒ(x) =
1-x?
be defined so that it will be continuous at x = -1?
1+x
(A) f(-1) = -2
(C) f(-1) = 2
(B) f(-1) = 0
(D) f(-1) = +∞
(2х
(x – 1 if x >1
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]
Transcribed Image Text:Sx² – c if x < 7 5. Let f(x) be the function f(x) = What is the value of c that (4х + 3с if х27 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) =? (A) infinite discontinuity (C) removable discontinuity x² –1 (B) jump discontinuity (D) f is continuous at 1 7. How should the function ƒ(x) = 1-x? be defined so that it will be continuous at x = -1? 1+x (A) f(-1) = -2 (C) f(-1) = 2 (B) f(-1) = 0 (D) f(-1) = +∞ (2х (x – 1 if x >1 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]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning