The domain of the function means, for what values of the independent variable (input value) (or variables) is the function defined. If you have an equation of the type:y = f(x) ("y" somehow depends on "x")
then the domain is all the values that "x" can take.
The domain of a function is simply the x values of the function
I cannot see the graph you are referring to. However, to determine the domain of a function, you need to identify all possible input values (x-values), while the range consists of all possible output values (y-values). If you provide more details about the function or its characteristics, I can help you determine the domain and range.
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined, while the range is the set of possible output values (y-values) that result from those inputs. The restrictions or characteristics of the domain can directly influence the range; for example, if the domain is limited to non-negative numbers, the range will also be restricted accordingly. Additionally, the nature of the function itself (e.g., linear, quadratic) can further shape the relationship between the domain and range. Thus, understanding the domain is crucial for predicting and analyzing the corresponding range.
The term "domain" refers to the set of all possible input values for a function. If a function's domain is all real numbers, it means that you can input any real number into the function without encountering restrictions such as division by zero or taking the square root of a negative number. Examples of functions with this domain include linear functions and polynomial functions. However, specific functions may have restricted domains based on their mathematical characteristics.
A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).A piece-wise continuous function is one which has a domain that is broken up inot sub-domains. Over each sub-domain the function is continuous but at the end of the domain one of the following possibilities can occur:the domain itself is discontinuous (disjoint domains),the value of the function is not defined at the start or end-point of the domain ((a hole),the value of the function at the end point of a sub-domain is different to its value at the start of the next sub-domain (a step-discontinuity).
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.
The domain of a function is simply the x values of the function
No, when the domain repeats it is no longer a function
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
I cannot see the graph you are referring to. However, to determine the domain of a function, you need to identify all possible input values (x-values), while the range consists of all possible output values (y-values). If you provide more details about the function or its characteristics, I can help you determine the domain and range.
The domain of the sine function is all real numbers.
how don you find write the domain of a function
Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined, while the range is the set of possible output values (y-values) that result from those inputs. The restrictions or characteristics of the domain can directly influence the range; for example, if the domain is limited to non-negative numbers, the range will also be restricted accordingly. Additionally, the nature of the function itself (e.g., linear, quadratic) can further shape the relationship between the domain and range. Thus, understanding the domain is crucial for predicting and analyzing the corresponding range.
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.