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What does the term 'domain' refer to in the context of a function?

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Question: What does the term \'domain\' refer to in the context of a function?

Options:

  1. The set of all possible output values.
  2. The set of all possible input values.
  3. The maximum value of the function.
  4. The minimum value of the function.

Correct Answer: The set of all possible input values.

Solution:

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

What does the term 'domain' refer to in the context of a function?

Practice Questions

Q1
What does the term 'domain' refer to in the context of a function?
  1. The set of all possible output values.
  2. The set of all possible input values.
  3. The maximum value of the function.
  4. The minimum value of the function.

Questions & Step-by-Step Solutions

What does the term 'domain' refer to in the context of a function?
  • Step 1: Understand that a function takes an input and gives an output.
  • Step 2: The input values are usually represented by 'x'.
  • Step 3: The domain is all the possible 'x' values that you can use in the function.
  • Step 4: If you try to use an 'x' value that the function can't handle, it's not in the domain.
  • Step 5: For example, in the function f(x) = 1/x, you cannot use x = 0 because it would make the function undefined.
  • Step 6: So, the domain of this function is all real numbers except for 0.
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