Answered: In Exercises 1–4, say whether the…

In Exercises 1–4, say whether the function graphed is continuous on [-1, 3]. If not, where does it fail to be continuous and why?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 15E

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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

Continuity from Graphs
In Exercises 1-4, say whether the function graphed is continuous on
[-1, 3]. If not, where does it fail to be continuous and why?
1.
2.
y = f(x)
y = g(x)
2
3
1
2
3
3.
4.
y = h(x)
y = k(x)
2
1
2
3
2
3
2.
2.
2.

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