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Nick88888888

  • one year ago

What is the range of the following function ? Graph including points (negative 2, 7), (negative 1, 0), (0, negative 5), (1, negative 8), (2, negative 9), (3, negative 8), (4, negative 5), (5, 0), (6, 7).

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  1. Nick88888888
    • one year ago
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  2. Nick88888888
    • one year ago
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    it would be nice to know how to find it step by step that way i dont have to ask again =w=

  3. mathstudent55
    • one year ago
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    Have you noticed the - and _ key in your keyboard above the P key? You can write -2 instead of negative 2. It's much faster and easier to read.

  4. mathstudent55
    • one year ago
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    To answer your question. The range of a function is the set of all the values used in the y-coordinate.

  5. Nick88888888
    • one year ago
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    @mathstudent55 oh sorry

  6. Nick88888888
    • one year ago
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    so that would be 7, 0, -5, -8, -9, -8, -5, 0 and 7?

  7. mathstudent55
    • one year ago
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    These are the points you wrote above. \((-2, 7), (-1, 0), (0, -5), (1, -8), (2, -9), (3, -8), (4, -5), (5, 0), (6, 7) \)

  8. mathstudent55
    • one year ago
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    In this case, those individual points are not important. You want the range of the entire function. What are all the y-coordinates that this function uses?

  9. mathstudent55
    • one year ago
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    From the graph, it looks like the lowest y-coordinate is -9 from the point (2, -9) which is the vertex of the parabola.

  10. mathstudent55
    • one year ago
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    As the two branches of the parabola go up, y in each ordered pair can take any number that is greater than -9.

  11. mathstudent55
    • one year ago
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    That means the range is all real numbers greater than or equal to 9. Range: \( \{All ~y, such ~that ~y \ge -9 \} \)

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