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Chapter 2: Q. 8 (page 100)

True or False The domain and the range of the reciprocal function are the set of all real numbers.

Short Answer

Expert verified

The statement 'The domain and the range of the reciprocal function are the set of all real numbers.' is false.

Step by step solution

01

Step 1. Given information

We have been given a statement 'The domain and the range of the reciprocal function are the set of all real numbers. '.

We have to tell whether this statement is true or false.

02

Step 2. Analyze the graph of the reciprocal function

The graph of the reciprocal function f(x)=1xis:

It is clear from the graph that the function has domain and range all real numbers except 0.

Therefore, the given statement is false.

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