Nick88888888
  • Nick88888888
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).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Nick88888888
  • Nick88888888
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Nick88888888
  • Nick88888888
it would be nice to know how to find it step by step that way i dont have to ask again =w=
mathstudent55
  • mathstudent55
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.

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mathstudent55
  • mathstudent55
To answer your question. The range of a function is the set of all the values used in the y-coordinate.
Nick88888888
  • Nick88888888
@mathstudent55 oh sorry
Nick88888888
  • Nick88888888
so that would be 7, 0, -5, -8, -9, -8, -5, 0 and 7?
mathstudent55
  • mathstudent55
These are the points you wrote above. \((-2, 7), (-1, 0), (0, -5), (1, -8), (2, -9), (3, -8), (4, -5), (5, 0), (6, 7) \)
mathstudent55
  • mathstudent55
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?
mathstudent55
  • mathstudent55
From the graph, it looks like the lowest y-coordinate is -9 from the point (2, -9) which is the vertex of the parabola.
mathstudent55
  • mathstudent55
As the two branches of the parabola go up, y in each ordered pair can take any number that is greater than -9.
mathstudent55
  • mathstudent55
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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