What are some common mistakes to avoid when determining the domain and range of a function?
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what is domain range and function
- How do the initial conditions and boundary conditions (in the domain) map to the fluid flow properties (e.g., velocity, pressure) at different points in space and time (in the range)? What is the domain and range of a function used in computational biology (e.g., a protein folding prediction algorithm)?
- How can interval notation be used to represent the domain and range of a function? How can inequality notation be used to represent the domain and range of a function?
- Give examples of functions that are their own inverses and describe their domain and range. How does the symmetry of a function's graph relate to whether it is its own inverse?
- How does the domain and range of a function relate to its continuity?
- What is the domain and range of a transformation in linear algebra?
- When dividing two functions f(x) / g(x), what are the potential restrictions on the domain? How does scalar multiplication of a function affect its domain and range?
- How do you find the range of a function algebraically? How do you find the range of a function graphically?
- What is the preimage of an element in the range? What is the image of an element in the domain?
- What is the domain and range of a function implemented in hardware (e.g., a digital circuit)?
- What is the domain and range of a quadratic function?
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