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]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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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]
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