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Learning Goal

Part of: Interpret functions that arise in applications in terms of the context1 of 3 cluster items

Interpret key features of graphs

HSF.IF.B.4

**HSF.IF.B.4**: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

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HSF.IF.B.4: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

What you'll learn

  1. Identify and interpret intercepts (x-intercepts and y-intercept) of a function's graph in terms of the quantities the function models
  2. Determine intervals where a function is increasing, decreasing, positive, or negative, and explain what these features mean in context
  3. Identify relative maximums and minimums on a graph and interpret their meaning in the situation being modeled
  4. Recognize symmetry and end behavior of a function's graph and describe their contextual significance
  5. Sketch a graph that exhibits specified key features given a verbal description of a relationship between two quantities

Slides

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Slides

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