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.
An absolute maximum refers to the highest value of a function over its entire domain. It occurs at a specific point where the function reaches its greatest output compared to all other points in that domain. This value is distinct from relative maxima, which are the highest points in a localized area but not necessarily the highest overall. Identifying the absolute maximum is important in optimization problems and calculus.
In mathematics, the term "maximum" refers to the largest value in a given set of numbers or the highest point of a function within a specified domain. It can be used in various contexts, such as finding the maximum value of a dataset, the maximum height of a curve, or the optimal solution in optimization problems. The maximum can be either absolute (the highest value overall) or relative (the highest value in a local neighborhood).
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.
y is a function of x iffor each value of x (in the domain) there is a value of y, andfor each value of y (in the range) there is at most one value of x.
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
points
point
mad
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).
mad
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.
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.
Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.Maximum is the highest value in a range of values and can be got using the MAX function. There is no function called High in Excel.