4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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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...
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a4. answer 4 and 5

unswer to even number:
2. a. discontinuous
b. continuous
Activity 4:
Determine whether the functions below are continuous or not on a given point or a given interval.
(x+1 ; x<2
1. Is the function f(x) = x² ; x = 2 continuous at x = 2? Why or why not?
(2x-1; x>2
2. Is the function f(x)=x²+x²-2 continuous atx=1? Why or why not?
3. Is the function f(x) =
x²-x-2
x-2
continuous at x = 2? Why or why not?
4. Is the function f(x) =
(x + 1
; x<4
((x-4)² +3 x24"
5. Consider the function below. Is g continuous on (0,11? on (4,1)? Why or why not?
20
if x ≤0.
3
if 0 <a ≤ 1,
g(x) =
3-r²
if1<≤4.
if > 4.
continuous at x = 4? Why or why not?
Transcribed Image Text:unswer to even number: 2. a. discontinuous b. continuous Activity 4: Determine whether the functions below are continuous or not on a given point or a given interval. (x+1 ; x<2 1. Is the function f(x) = x² ; x = 2 continuous at x = 2? Why or why not? (2x-1; x>2 2. Is the function f(x)=x²+x²-2 continuous atx=1? Why or why not? 3. Is the function f(x) = x²-x-2 x-2 continuous at x = 2? Why or why not? 4. Is the function f(x) = (x + 1 ; x<4 ((x-4)² +3 x24" 5. Consider the function below. Is g continuous on (0,11? on (4,1)? Why or why not? 20 if x ≤0. 3 if 0 <a ≤ 1, g(x) = 3-r² if1<≤4. if > 4. continuous at x = 4? Why or why not?
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