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Define dependent variable, independent variable, maximum value, minimum value, and explain continuous vs. discrete graphs.

Mathematics

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  1. Identify these features: a) The dependent variable is the variable being measured or observed, and its value is affected by changes in another variable. b) The independent variable is the variable that is manipulated or changed in an experiment. Its value does not depend on other variables being measured. c) The maximum value is the highest point or largest value that a function or data set can reach. d) The minimum value is the lowest point or smallest value that a function or data set can reach.

  2. Is the graph continuous or discrete? A graph is continuous if it can be drawn without lifting the pen, meaning it represents data that can take any value within a range. A graph is discrete if it consists of distinct, separate points, representing data that can only take specific, often whole, values. Without a specific graph, it's not possible to definitively say if "the graph" is continuous or discrete.

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