A function graph is a visual representation of a mathematical function, illustrating the relationship between input values (usually represented on the x-axis) and output values (represented on the y-axis). It shows how each input is associated with exactly one output, allowing for analysis of the function's behavior, including its critical points, increasing and decreasing intervals, and overall shape. The function graph is essential for understanding concepts like local maxima and minima as well as determining the behavior of numerical methods.
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