The highest point on a graph in the domain of a function is called the maximum or local maximum, depending on whether it is the highest point overall or within a specific interval. This point represents the maximum value of the function at that particular input, and it can be identified visually on the graph or mathematically through calculus by finding where the derivative is zero or undefined and confirming it as a maximum through further analysis. In a continuous function, a maximum may occur at the endpoints of the domain or at critical points within the interval.
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.
A function describes the relationship between two or more variables. A graph is a kind of visual representation of one or more function. A line or curve seen on a graph is called the graph of a function. * * * * * For any point in the domain, a function can map to only ine point in the range or codomain. In simpler terms, it means that (for a two dimensional graph), a vertical line can intersect the graph of the function in at most one point.
The lowest point on a graph in the domain of the function is called the "minimum" or "global minimum" if it is the lowest point overall. If the lowest point is only the lowest within a certain interval, it may be referred to as a "local minimum." These points represent the values of the function where it attains its least value in the specified context.
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
The highest point of a graph is called the "maximum" or "local maximum" if it is the highest point within a certain interval. It represents the greatest value of the function at that point, often indicating a peak or turning point. In a broader sense, the absolute maximum refers to the highest point over the entire graph. Identifying this point is crucial in optimization problems and analyzing the behavior of functions.
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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.
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 describes the relationship between two or more variables. A graph is a kind of visual representation of one or more function. A line or curve seen on a graph is called the graph of a function. * * * * * For any point in the domain, a function can map to only ine point in the range or codomain. In simpler terms, it means that (for a two dimensional graph), a vertical line can intersect the graph of the function in at most one point.
The lowest point on a graph in the domain of the function is called the "minimum" or "global minimum" if it is the lowest point overall. If the lowest point is only the lowest within a certain interval, it may be referred to as a "local minimum." These points represent the values of the function where it attains its least value in the specified context.
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.