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Interpreting Graphs of Functions in Real-World Scenarios

Learn to analyze function graphs and interpret key points such as intercepts, extrema, symmetry, and end behavior with real-world examples. Understand positive, negative, increasing, and decreasing trends in graphs.

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Interpreting Graphs of Functions in Real-World Scenarios

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  1. 1-8 Interpreting Graphs of Functions CCSS: F.IF.4

  2. intercept x-intercept y-intercept line symmetry positive negative increasing decreasing extrema relative maximum relative minimum end behavior Key Vocabulary

  3. Example 1: REAL WORLD The graph shows the height y of an object as a function of time x. Identify the function as linear or nonlinear. Then estimate and interpret the intercepts

  4. Example 2: Real World • An object is launched. The graph shows the height y of the object as a function of time x. Describe and interpret any symmetry

  5. Example 3: Interpret Extrema and End Behavior Positive and Negative

  6. Increasing and Decreasing

  7. relative maximum and minimum

  8. End Behavior

  9. U.S. retail sales of video games from 2000 to 2009 can be modeled by the function graphed below. Estimate and interpret where the function is positive, negative, increasing and decreasing, the x-coordinate of any relative extrema, and the end behavior of the graph Example 3: Real World

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