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

(-5,5),(-3,0),(4,-2),(8,-10),(-1,-2),(-2,10),(0,10)
Answer:

Find the domain of the function defined by the set of points below. Express your answer as a set of numbers.\newline(5,5),(3,0),(4,2),(8,10),(1,2),(2,10),(0,10) (-5,5),(-3,0),(4,-2),(8,-10),(-1,-2),(-2,10),(0,10) \newlineAnswer:

Full solution

Q. Find the domain of the function defined by the set of points below. Express your answer as a set of numbers.\newline(5,5),(3,0),(4,2),(8,10),(1,2),(2,10),(0,10) (-5,5),(-3,0),(4,-2),(8,-10),(-1,-2),(-2,10),(0,10) \newlineAnswer:
  1. Identify Domain: The domain of a function is the set of all possible input values (xx-values) for which the function is defined. To find the domain of the function represented by the given set of points, we need to list all the unique xx-values from the set of points.
  2. Extract X-Values: The given set of points is (5,5(-5,5), (3,0(-3,0), (4,2(4,-2), (8,10(8,-10), (1,2(-1,-2), (2,10(-2,10), (0,10(0,10). Extracting the x-values from these points, we get: 5-5, 3-3, 44, (3,0(-3,000, (3,0(-3,011, (3,0(-3,022, (3,0(-3,033.
  3. Check for Duplicates: We need to ensure that there are no duplicates in the list of xx-values since each xx-value represents a possible input to the function. Checking the list, we see that all xx-values are unique.
  4. Express Domain: Now, we can express the domain as a set of these xx-values. The domain of the function is {5,3,2,1,0,4,8}\{-5, -3, -2, -1, 0, 4, 8\}.

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