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.)
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.)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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please I need the answer for question c.) only. Thank you
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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