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A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
Consider the graph of y= +/- sqrt(x). Notice that, for any value of x greater than 0, there are two values of this relation. To be a function a relation has to assign one value in the range to each value in the domain. So this cannot be a function, yet it has a perfectly ordinary graph.
The graph of y = log(x) is defined only for x>0. The graph is a monotonic increasing function over its domain. It starts from an asymptotic "minus infinity" when x approaches 0. It passes through the value y = 0 when x = 1. The graph is illustrated at the link below.
A graph is a function if there is no more than one y-value for any x value. This means no vertical lines or "C" shapes, etc
If it is a differentiable function, you find the value at which its derivative is 0. But in general, you can plot it as a line graph and see where it peaks.
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A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
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.
Assuming the standard x and y axes, the range is the maximum value of y minus minimum value of y; and the domain is the maximum value of x minus minimum value of x.
The definition of a function is "A relation in which exactly one element of the range is paired with each element of the domain." This means that in the relationship of a function, each range element (x value) can only have one domain element (y value). If you draw a vertical line and it crosses your graph twice, then you can see that your x value has two y values, which is not a function.
The graph or function relates a value y (in the vertcal direction) to a value x (in the horizontal direction). For each point x in the domain, there must be one and only one value y. In terms of a graph that means that a vertical line from any value of x in the domain must meet the graph in exactly place - at least once and not more than once. More than one x values can have the same y value associated with them.
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.
The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.
Consider the graph of y= +/- sqrt(x). Notice that, for any value of x greater than 0, there are two values of this relation. To be a function a relation has to assign one value in the range to each value in the domain. So this cannot be a function, yet it has a perfectly ordinary graph.
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.