b) Write down the domain and range of the function y = f(x) graphed below. Which of the following statements are true and which are false? give reason. y=fx) -2 i) Does lim f(z) exist? ii) is f(x) continuous at z = 2. iii) Does lim f(r) exist? iv) Is f(x) continuous at z = 0? v) At what values of f is r discontinous. Also, state the type of discontinuity.

b) Write down the domain and range of the function y = f(x) graphed below. Which of the following statements are true and which are false? give reason. y=fx) -2 i) Does lim f(z) exist? ii) is f(x) continuous at z = 2. iii) Does lim f(r) exist? iv) Is f(x) continuous at z = 0? v) At what values of f is r discontinous. Also, state the type of discontinuity.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 37E

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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

b) Write down the domain and range of the function y = f(x) graphed below. Which
of the following statements are true and which are false? give reason.
y = f(x)
-2
i) Does lim f(z) exist?
ii) is f(x) continuous at r = 2.
iii) Does lim f(x) exist?
iv) Is f(x) continuous at z = 0?
v) At what values of f is x discontinous. Also, state the type of discontiuity.

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