Answered: Direction: Prove using the three…

Direction: Prove using the three conditions of continuity if the following function is continuous or not on a given constant c

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 4ST

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

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Direction: Prove using the three conditions of continuity if the following function is continuous or not on a given constant c

f(x) = 3x - 5x2
C = 2
2. f(x) = V3x – 1
C = 1
f(x) =
-3x+2
3.
X-1
C = 2
+4r-5
f(x) =
4.
x+5
C = - 5

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