Solution: The domain of a polynomial is the entire set of real numbers. The limiting factor on the domain for a rational function is the denominator, which cannot be equal to zero. The values not included in the domain of t ( x) are the roots of the polynomial in the denominator.

Domain is already explained for all the above logarithmic functions with the base '10'. In case, the base is not '10' for the above logarithmic functions, domain will remain unchanged. For example, in the logarithmic function. y = log10(x), instead of base '10', if there is some other base, the domain will remain same. That is.
For the cube root function \(f(x)=\sqrt[3]{x}\), the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function). Given the formula for a function, determine the domain and range.
Domains view. Domain properties. Attribute domains are rules that describe the legal values of a field type, providing a method for enforcing data integrity. You work with domains in the Domains view, which is accessible through the Data Design section of the Data ribbon, or on the Fields view and Subtypes view ribbons.
Definition. A transformation from R n to R m is a rule T that assigns to each vector x in R n a vector T (x) in R m. R n is called the domain of T. R m is called the codomain of T. For x in R n, the vector T (x) in R m is the image of x under T. The set of all images {T (x) | x in R n} is the range of T. The notation T: R n −→ R m means . 312 32 476 374 254 165 384 251

meaning of domain and range