Can a function have a restricted domain but a range of all real numbers?
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what is domain range and function
- What are some properties of the image and preimage of sets under a function? How does the concept of domain and range apply to relations that are not functions?
- How do these restrictions affect the domain of functions involving these operations? How does the domain of a function impact the interpretation of its results (the range)?
- What is the horizontal line test and how does it relate to functions?
- How does the structure of valid files define the domain, and how does the data represented by those files define the range? What is the domain and range of a network protocol?
- How do the relevant physical quantities (e.g., mass, distance) in the domain map to the resulting force (in the range)? What is the domain and range of a function used in signal processing (e.g., a filter)?
- How do you find the range of a function algebraically? How do you find the range of a function graphically?
- When does a function have an inverse?
- How do the initial conditions (in the domain) map to the state of the system at a later time (in the range)? What is the domain and range of a function that represents a physical law (e.g., Newton's law of gravitation)?
- How do the input texts in one language (in the domain) map to the output texts in another language (in the range)? What is the domain and range of a function used in computational finance (e.g., a stock price prediction model)?
- How does the output of a function relate to its range? What is the codomain of a function?
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