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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.

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

Find the range of the function defined by the set of points below. Express your answer as a set of numbers.\newline(10,1),(5,5),(8,0),(3,3),(3,4) (10,1),(5,5),(-8,0),(3,3),(-3,-4) \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(10,1),(5,5),(8,0),(3,3),(3,4) (10,1),(5,5),(-8,0),(3,3),(-3,-4) \newlineAnswer:
  1. Identify Output Values: To find the range of the function, we need to look at the second elements of each ordered pair, as these represent the output values (yy-values) of the function.
  2. Extract Set of Values: The set of second elements from the given points is {1,5,0,3,4}\{1, 5, 0, 3, -4\}.
  3. Determine Smallest and Largest: The range of a function is the set of all possible output values (yy-values), so we need to identify the smallest and largest numbers in the set \{$\(1\), \(5\), \(0\), \(3\), \(-4\)\}.
  4. Find Range Boundaries: The smallest number in the set is \(-4\), and the largest number is \(5\).
  5. Calculate Range: Therefore, the range of the function is all numbers from \(-4\) to \(5\), inclusive.

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