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Definition and vertical line test

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

**F 505.** Understand the concept of a function as having a well-defined output value at each valid input value **F 504.** Attend to the difference between a function modeling a situation and the reality of the situation **G 406.** Locate points in the coordinate plane

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F 505. Understand the concept of a function as having a well-defined output value at each valid input value
F 504. Attend to the difference between a function modeling a situation and the reality of the situation
G 406. Locate points in the coordinate plane

What you'll learn

  1. State the definition of a function: each valid input value has exactly one output value
  2. Decide whether a set of ordered pairs, a table, or a mapping diagram represents a function, and name the specific input that breaks it when it does not
  3. Apply the vertical line test to a graph, and explain why it is the definition rather than a separate rule
  4. Explain why one input with two outputs violates the definition while two inputs sharing one output does not
  5. Decide whether a described situation is a function by testing whether one input could yield two outputs
  6. Distinguish a function that models a situation from the situation itself

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