The domain of a function is the set of input values for which the function is defined. The domain does not normally have a single value as such, but will typically be described through one or more intervals.
For example, consider the real function f(x) := 1 / x.
f is defined for all real values of x except zero, so the domain of f will be the combination of two intervals -infinity < x < 0 and 0 < x < +infinity.
points
point
point
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).
i think you are missing the word point in the question, and if so, then yes. the domain of a function describes what you can put into it, and since your putting x values into the function, if there is a point that exists at a certain x value, then that x is included in the domain.
A function is a rule that assigns a single value to each element in a domain.A function is a rule that assigns a single value to each element in a domain.A function is a rule that assigns a single value to each element in a domain.A function is a rule that assigns a single value to each element in a domain.
To determine the highest value on the domain of a function, you first need to identify the function's domain, which consists of all permissible input values (x-values). The highest value would be the maximum point within that domain. If the domain is restricted to a specific interval, the highest value would be the endpoint of that interval, assuming the function is defined and continuous at that point. Always consider the behavior of the function at the boundaries of the domain to ensure you identify the correct maximum.
Function
a function whose value is NOT 0 for all of its domain.
The domain can be anything you like, from the whole of the real numbers to just a single value.
point
To normalize a function, the value of a must be such that the integral of the function squared over its domain is equal to 1.