Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 1. b. Is f continuous from the left or right at 1? c. State the interval(s) of continuity. f(x)= 2x +4x if x>1 if x ≤ 1 a. Why is f not continuous at 1? A. lim f(x) does not exist. x-1 B. Although lim f(x) exists, it does not equal f(1). x-1 C. f(1) is not defined. b. Choose the correct answer below. A. f is not continuous from the left or the right at 1. B. f is continuous from the left at 1. C. f is continuous from the right at 1. c. What are the interval(s) of continuity? (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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please I need the answer for question c.) only. Thank you

Suppose f(x) is defined as shown below.
a. Use the continuity checklist to show that f is not continuous at 1.
b. Is f continuous from the left or right at 1?
c. State the interval(s) of continuity.
f(x)=
2x
+4x if x>1
if x ≤ 1
a. Why is f not continuous at 1?
A. lim f(x) does not exist.
x-1
B. Although lim f(x) exists, it does not equal f(1).
x-1
C. f(1) is not defined.
b. Choose the correct answer below.
A. f is not continuous from the left or the right at 1.
B. f is continuous from the left at 1.
C. f is continuous from the right at 1.
c. What are the interval(s) of continuity?
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
Transcribed Image Text:Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 1. b. Is f continuous from the left or right at 1? c. State the interval(s) of continuity. f(x)= 2x +4x if x>1 if x ≤ 1 a. Why is f not continuous at 1? A. lim f(x) does not exist. x-1 B. Although lim f(x) exists, it does not equal f(1). x-1 C. f(1) is not defined. b. Choose the correct answer below. A. f is not continuous from the left or the right at 1. B. f is continuous from the left at 1. C. f is continuous from the right at 1. c. What are the interval(s) of continuity? (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
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