Question

what is the range of this function?
(5, 5)
(3, 1)
(8, 10)
(-3, -7)
(-1, 9)
(6, 10)
{1, 3, 5, 6, 8}
{-7, 1, 5, 9, 10}
{1, 5, 7, 9, 10}
{-3, -1, 3, 5, 6, 8}

Explanation:

Step1: Recall the definition of range

The range of a function is the set of all output values (the second elements of the ordered pairs).

Step2: Identify the output values from each ordered pair

• From \((5, 5)\), the output is \(5\).
• From \((3, 1)\), the output is \(1\).
• From \((8, 10)\), the output is \(10\).
• From \((-3, -7)\), the output is \(-7\).
• From \((-1, 9)\), the output is \(9\).
• From \((6, 10)\), the output is \(10\) (we only list unique values).

Step3: List the unique output values

Combining these unique output values, we get \(\{-7, 1, 5, 9, 10\}\).

Answer:

\(\{-7, 1, 5, 9, 10\}\) (the second option)