Chapter 14: Q. 31 (page 889)

In Problems 13–32, use the accompanying graph of y = f(x).
\
Is f continuous at 4?

Short Answer

Expert verified

The answer is no. The function is not continuous at 4.

Step by step solution

Step. 1 How to check continuity?

For a function to be continuous its LHL = RHL = f(c) at the point $x = c$ .

Step. 2 Calculating LHL, RHL and f(c).

As we can see that $x = 4$ doesn't exist even in the domain of f(x).

So, f(4) doesn't exist. Therefore, we don't need to calculate LHL and RHL from here itself we can conclude that f(x) is not continuous at $x = 4$ .

And from the graph itself we can clearly see that we have to pick our pencil up the paper when we move through $x = 4$ which is also a method to check whether the function is continuous or not.

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In Problems 13–32, use the accompanying graph of y = f(x).
\
Is f continuous at 4?

Short Answer

Step by step solution

Step. 1 How to check continuity?

Step. 2 Calculating LHL, RHL and f(c).

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In Problems 13–32, use the accompanying graph of y = f(x).\Is f continuous at 4?

Short Answer

Step by step solution

Step. 1 How to check continuity?

Step. 2 Calculating LHL, RHL and f(c).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Probability and Statistics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 13–32, use the accompanying graph of y = f(x).
\
Is f continuous at 4?