



What is the image (or column space) of a linear transformation and how does it relate to the range? How do eigenvalues and eigenvectors relate to the domain and range of a linear transformation?
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what is domain range and function
- How do you determine the domain and range of a piecewise function? What is an absolute value function?
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- How do the valid syntax of the programming language define the domain, and how does the behavior of the program when executed define the range (in terms of outputs or side effects)? What is the domain and range of a function that models the spread of a disease?
- What is the domain of k(x) = log(x)? What is the range of k(x) = log(x)?
- What are the limitations of determining the domain and range from a finite table of values? How can technology (graphing calculators, software) be used to help determine the domain and range of a function?
- What is a relation? How does a function differ from a relation?
- How do the set of all possible input strings define the domain, and how does the set of possible output strings or truth values define the range? What is the domain and range of a function that models the evolution of a dynamical system?
- How do the properties of the functional equation constrain the possible domains and ranges of its solutions? What is the domain and range of a function defined algorithmically?
- 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?
- Give an example of a function where the range is a subset of the domain. How does the concept of domain and range apply to functions of multiple variables?
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