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How do you determine the domain and range of relations and functions?
Some functions are only defined for certain values of the argument. For example, the the logarithm is defined for positive values. The inverse function is defined for all non-zero numbers. Sometimes the range determines the domain. If you are restricted to the real numbers, then the domain of the square root function must be the non-negative real numbers. In this way, there are definitional domains and ranges. You can then chose any subset of the definitional domain to be your domain, and the images of all the values in the domain will be the range.
Which parent functions has a domain and range of all real numbers excluding the origin?
y = 1/x
What is the domain and range of the square root of x?
sqrt(x) Domain: {0,infinity) Range: {0,infinity) *note: the domain and range include the point zero.
What are common terms to represent domain and range and how do you find them?
x = the domain y = the co-domain and range is the output or something e_e
What is the domain and range of y equals the square root of four minus x squared?
The domain and the range depends on the context. For example, the domain and the range can be the whole of the complex field. Or I could define the domain as {-2, 1, 5} and then the range would be {0, 3, -21}. When either one of the range and domain is defined, the other is implied.
