Finding Domain and Range from a Graph
2012-05-30 15:48
This applet demonstrates how to find the domain and range of a function from its graph and express them using interval notation. Through dynamic interaction, users can visually observe the projection of the function graph onto the x-axis and y-axis, making it intuitive to identify the exact intervals covered by the independent and dependent variables. The horizontal span of the curve reveals the domain, while the vertical span reveals the range, and both are written in standard interval notation. This hands-on exploration allows learners to connect abstract set notation with concrete visual representations, deepening their understanding of functions and their graphs. The applet is designed for students in high school algebra and pre-calculus courses, helping them solidify foundational concepts such as functions, domains, ranges, and graphical analysis. By manipulating the interactive elements, users can test different functions and immediately see how changes in the graph affect the corresponding domain and range intervals, reinforcing the relationship between algebraic definitions and geometric intuition.
In collections
函數
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