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.
When the vertex is the highest point on the graph of a quadratic function, we call that a maximum. This occurs in a downward-opening parabola, where the vertex represents the peak value of the function. In contrast, if the vertex is the lowest point, it is referred to as a minimum.
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Lines are infinite and so do not have a highest or lowest point. You need to have a curve to have a possible lowest point.
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.
a point on a graph where if the graph is transformed the point stays the same.
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.
The vertex is the highest or lowest point on a graph.
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When the vertex is the highest point on the graph of a quadratic function, we call that a maximum. This occurs in a downward-opening parabola, where the vertex represents the peak value of the function. In contrast, if the vertex is the lowest point, it is referred to as a minimum.
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To determine the natural frequency from a graph, identify the peak point on the graph which represents the highest amplitude or resonance. The frequency corresponding to this peak point is the natural frequency of the system.
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the lowest or highest point on the coordinate grid/ graph
Lines are infinite and so do not have a highest or lowest point. You need to have a curve to have a possible lowest point.
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