Q. 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:
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 (y-values) of the function.
Extract Set of Values: The set of second elements from the given points is {1,5,0,3,−4}.
Determine Smallest and Largest: The range of a function is the set of all possible output values (y-values), so we need to identify the smallest and largest numbers in the set \{$\(1\), \(5\), \(0\), \(3\), \(-4\)\}.
Find Range Boundaries: The smallest number in the set is \(-4\), and the largest number is \(5\).
Calculate Range: Therefore, the range of the function is all numbers from \(-4\) to \(5\), inclusive.