Suppose f(x) is defined as shown below. a. Use the continuity checklist to show thatf is not continuous at 3. b. Is f continuous from the left or right at 3? c. State the interval(s) of continuity. x² + 2x if x > 3 f(x) 3= 2x if xs3 a. Why is f not continuous at 3? O A. lim f(x) does not exist. X→3 B. Although lim f(x) exists, it does not equal f(3). O C. f(3) is not defined.
Suppose f(x) is defined as shown below. a. Use the continuity checklist to show thatf is not continuous at 3. b. Is f continuous from the left or right at 3? c. State the interval(s) of continuity. x² + 2x if x > 3 f(x) 3= 2x if xs3 a. Why is f not continuous at 3? O A. lim f(x) does not exist. X→3 B. Although lim f(x) exists, it does not equal f(3). O C. f(3) is not defined.
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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Transcribed Image Text:Suppose f(x) is defined as shown below.
a. Use the continuity checklist to show that f is not continuous at 3.
b. Is f continuous from the left or right at 3?
c. State the interval(s) of continuity.
x²
f(x)%3D
2x
X +2x if x> 3
if xs3
a. Why is f not continuous at 3?
O A. lim f(x) does not exist.
X-3
B. Although lim f(x) exists, it does not equal f(3).
X3
OC. f(3) is not defined.
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