What is the domain and range of a function with vertical asymptotes at x = a and x = b? What is the domain and range of a function with a horizontal asymptote at y = c?
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what is domain range and function
- How do the premises define the domain, and how do the possible valid conclusions define the range? What is the domain and range of a work of art (e.g., a painting, a sculpture, a piece of music)?
- Can a function be continuous on its domain but not have a well-defined range over all real numbers? Can a function have a well-defined range but have discontinuities within its domain?
- What are some common restrictions on the range of a function?
- What is the domain and range of a function that models a real-world phenomenon (e.g., population growth, radioactive decay)? What are the physical constraints that might restrict the domain and range of a real-world function?
- How do the possible states of the system define the domain, and how do the possible observable outcomes define the range? What is the domain and range of a function in formal language theory (e.g., a function mapping strings to other strings or to Boolean values)?
- What is the domain and range of a profit function in economics?
- What is the output or "range" of a function in a programming language? How do data types in programming relate to the domain and range of functions that operate on them?
- How do the input signals (in the domain) map to the output signals (in the range)? What is the domain and range of a function used in image processing (e.g., an edge detection algorithm)?
- How does the set of valid source code programs define the domain, and how does the set of possible output programs (e.g., machine code) define the range? What is the domain and range of a natural language processing model?
- 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?
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