Determine whether f is continuous at c. Use algebraic substitution, graphing, and or tables to determine your answer. Show your work to justify your answer. 1. f(x) = 3x³ - 6x² + 7x-3, c = 2

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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Determine whether f is continuous at c. Use algebraic substitution, graphing, and or tables to
determine your answer. Show your work to justify your answer.
1. f(x) = 3x³ - 6x² + 7x-3, c = 2
2. f(x)=
x² +5
x-6
, C = 3
x + 3
3. f(x)= x3, C = 3
c
x² + 3x
4. f(x)=
-, C = 0
- 3.x
Given the diagram below, answer the following questions.
Transcribed Image Text:Determine whether f is continuous at c. Use algebraic substitution, graphing, and or tables to determine your answer. Show your work to justify your answer. 1. f(x) = 3x³ - 6x² + 7x-3, c = 2 2. f(x)= x² +5 x-6 , C = 3 x + 3 3. f(x)= x3, C = 3 c x² + 3x 4. f(x)= -, C = 0 - 3.x Given the diagram below, answer the following questions.
Given the diagram below, answer the following questions.
0.5
-5
-4
-3
-2
-0.5
-1
-1.5-
5. Is the function continuous at x = -3?
6. Is the function continuous at x = -2?
7. Is the function continuous at x = 2?
1
2
Transcribed Image Text:Given the diagram below, answer the following questions. 0.5 -5 -4 -3 -2 -0.5 -1 -1.5- 5. Is the function continuous at x = -3? 6. Is the function continuous at x = -2? 7. Is the function continuous at x = 2? 1 2
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