Determine Whether the Given Function Is Continuous

question 196

Multiple Choice

Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold. You can verify your conclusions by graphing the function with a graphing utility, if one is available. ​ ​

• A) discontinuous at
• B) discontinuous at
• C) discontinuous at
• D) discontinuous at
• E) continuous everywhere

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Definitions:

Like Terms

Terms in an algebraic expression that have the same variables raised to the same power, which can be combined or simplified.

Operation Indicated

The process of performing the mathematical operation (such as addition, subtraction, multiplication, or division) as specified by the given problem.

Collect

To gather or accumulate items or amounts, typically for a specific purpose or collection.

Like Terms

In algebra, terms that have the same variable raised to the same power, which can be combined by addition or subtraction.