4-2 Patterns and Functions. In a relationship between variables, the dependent variable changes in response to another variable, the independent variable.

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4-2 Patterns and Functions

In a relationship between variables, the dependent variable changes in response to another variable, the independent variable Inputs: values of the independent variable Outputs: values of the dependent variable

Problem 1: Representing a Geometric Relationship In the diagram below, what is the relationship between the number of rectangles and the perimeter of the figure they form? Represent this relationship using a table, words, equation, and graph.

Function: is a relationship that pairs each input value with exactly one output value Linear Function: a function whose graph is a nonvertical line or part of a nonvertical line

Problem 2: Representing a Linear Function The table shows the relationship between the number of photos x you take and the amount of memory y in MB left on your camera’s memory chip. Is the relationship a linear function? Describe the relationship using words, an equation, and a graph.

Does the set of ordered pairs (0,2), (1,4), (3,5), and (1,8) represent a linear function? Explain