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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.

(9,-8),(5,6),(-8,10),(-6,8),(7,6),(-7,-1)
Answer:

Find the domain of the function defined by the set of points below. Express your answer as a set of numbers.\newline(9,8),(5,6),(8,10),(6,8),(7,6),(7,1) (9,-8),(5,6),(-8,10),(-6,8),(7,6),(-7,-1) \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(9,8),(5,6),(8,10),(6,8),(7,6),(7,1) (9,-8),(5,6),(-8,10),(-6,8),(7,6),(-7,-1) \newlineAnswer:
  1. Define Function 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 given by the set of points, we need to list all the unique xx-values from the given points.
  2. Identify Given Points: The given points are (9,8)(9,-8), (5,6)(5,6), (8,10)(-8,10), (6,8)(-6,8), (7,6)(7,6), and (7,1)(-7,-1). The xx-values from these points are 99, 55, 8-8, (5,6)(5,6)00, (5,6)(5,6)11, and (5,6)(5,6)22.
  3. List Unique XX-Values: We need to make sure that we list each xx-value only once, even if it appears in more than one point. Looking at the list, we see that each xx-value is unique.
  4. Check for Repeated Values: The domain of the function is the set of these xx-values. Therefore, the domain is {9,5,8,6,7,7}\{9, 5, -8, -6, 7, -7\}.

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