Question

what is the range of the set of numbers above?
a. {-0, -10, 6, 14}
b. {-12, 0, 12}
c. {-10, 8, 14}
d. {-6, 3, 0}

Explanation:

Step1: Recall the definition of range

The range of a set of numbers is the difference between the maximum and minimum values in the set.

Step2: Identify the maximum and minimum values

From the set of numbers \(6,3,-6,14,8,-10\), the maximum value \(M = 14\) and the minimum value \(m=-12\) (assuming all values are considered together). Wait, no, re - check: if we consider all the values in the context (maybe from the options, assume the set is \(\{-12, - 10,3,6,8,14\}\)). The maximum value \(M = 14\) and the minimum value \(m=-12\).

Step3: Calculate the range

The formula for range \(R = M - m\). Substitute \(M = 14\) and \(m=-12\) into the formula: \(R=14-(-12)=14 + 12=26\). But wait, maybe mis - interpretation. If it's about the range of a function (x - values as domain and y - values as range in a relation). If we assume the y - values (second row) are the output. The y - values are \(14,8,-10\). The maximum of \(14,8,-10\) is \(14\) and the minimum is \(-10\). The range (for a set of numbers representing the output of a relation) is the set of all output values. But if it's the range (statistical) of the combined set (if that's the case, wrong). Wait, re - read: if it's a relation (x,y) pairs. But the question says "the range of the set of numbers above". If we consider all the numbers \(6,3,-6,14,8,-10\). Sort them: \(-10,-6,3,6,8,14\). The range (statistical) is \(14-(-10)=24\). But if it's the range of a function (set of y - values). If the y - values are \(14,8,-10\) (assuming from the table: second row \(14,8,-10,y\) but maybe the set of y - values considered as \(\{-10,8,14\}\) (taking non - repeated values in a set sense for range of a function).

Answer:

C. \(\{-10,8,14\}\)