The domain of the sine function is all real numbers.
The domain can be anything you like, from the whole of the real numbers to just a single value.
The domain is whatever you want it to be. In the absence of a domain being defined explicitly, it is taken to be the whole of the real line.
False
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
The domain of your function is the set of real numbers.
The domain of the sine function is all real numbers.
all real numbers
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
The answer depends on the domain. If the domain is non-negative real numbers, then the range is the whole of the real numbers. If the domain is the whole of the real numbers (or the complex plane) , the range is the complex plane.
The cotangent function has domain all real numbers except integral multiples of pi./2(90degrees).
The domain and range can be the whole of the real numbers, or some subsets of these sets.
It could be either depending on the function that you have.
The domain can be anything you like, from the whole of the real numbers to just a single value.
f(x)=5x Domain is any number for x that will provide a real number for f(x). In this function, x can be any real number, and f(x) will be a real number. Thus domain is all real numbers.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.