Question
Find the range of the function defined by the set of points below. Express your answer as a set of numbers. \[ (2,8),(-1,-2),(-5,-8),(-7,9),(3,10) \]
Ask by Hill Marsh. in the United States
Feb 04,2025
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Answer
The range of the function is \(\{-8, -2, 8, 9, 10\}\).
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Beyond the Answer
The range of a function is the set of all possible output values (y-values) that correspond to the input values (x-values). From the set of points provided: \[ (2,8), (-1,-2), (-5,-8), (-7,9), (3,10) \] the y-values are \( 8, -2, -8, 9, \) and \( 10 \). To find the range, we simply list these y-values. Ordering them from the smallest to the largest, the range is: \[ \{-8, -2, 8, 9, 10\} \]