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Multiple Choice
In the context of business calculus, which of the following best describes the 'domain' of a function?
A
The maximum value the function can attain
B
The set of all possible input values for the function
C
The set of all possible output values for the function
D
The rate at which the function changes
Verified step by step guidance
1
Step 1: Understand the concept of 'domain' in the context of a function. The domain of a function refers to the set of all possible input values (typically represented as x-values) for which the function is defined.
Step 2: Eliminate incorrect options by analyzing their definitions. For example, 'The maximum value the function can attain' refers to the range or the maximum output, not the domain.
Step 3: Similarly, 'The set of all possible output values for the function' describes the range, not the domain.
Step 4: The option 'The rate at which the function changes' refers to the derivative of the function, which is unrelated to the domain.
Step 5: Conclude that the correct description of the domain is 'The set of all possible input values for the function,' as this aligns with the definition of the domain in business calculus.