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Find the range of the function defined by the set of points below. Express your answer as a set of numbers.

(-4,9),(4,-3),(7,5),(5,-3),(6,0)
Answer:

Find the range of the function defined by the set of points below. Express your answer as a set of numbers.\newline(4,9),(4,3),(7,5),(5,3),(6,0) (-4,9),(4,-3),(7,5),(5,-3),(6,0) \newlineAnswer:

Full solution

Q. Find the range of the function defined by the set of points below. Express your answer as a set of numbers.\newline(4,9),(4,3),(7,5),(5,3),(6,0) (-4,9),(4,-3),(7,5),(5,-3),(6,0) \newlineAnswer:
  1. Identify yy-values: To find the range of the function, we need to look at the yy-values of the given points, as the range consists of all possible yy-values that the function can take.
  2. Find smallest & largest: The given points are (4,9)(-4,9), (4,3)(4,-3), (7,5)(7,5), (5,3)(5,-3), (6,0)(6,0). The yy-values from these points are 99, 3-3, 55, 3-3, and (4,3)(4,-3)00.
  3. Determine the range: We need to identify the smallest and largest yy-values to determine the range. The smallest yy-value is 3-3 and the largest yy-value is 99.
  4. Express as a set: The range of the function is all yy-values from 3-3 to 99, inclusive. Therefore, the range can be expressed as the set of numbers from 3-3 to 99.
  5. Check for all values: Expressing the range as a set, we get the set {3,0,5,9}\{-3, 0, 5, 9\}. However, we need to check if we have included all the yy-values between the smallest and largest yy-values.

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