MHB Domain & Range: Find It on a Graph

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To find the domain and range of a graph, start by considering all real numbers as potential values. Analyze the graph to identify any restrictions, such as vertical asymptotes or holes, which indicate values that cannot be included in the domain. For the range, observe the highest and lowest points on the graph, noting any horizontal asymptotes or limits. A specific example can clarify this process, such as determining the domain and range of a quadratic function, which typically includes all real numbers for the domain and a specific interval for the range based on the vertex. Understanding these concepts is essential for accurately interpreting graphs in mathematics.
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How do you find the domain and range of a graph?
 
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teejay said:
How do you find the domain and range of a graph?

A specific example, attached to your best efforts, is probably the best way to proceed.

In general, a good place to start is to assume All Real Numbers and see what you can rule out.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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