Question

identify the domain and range for the following set of coordinates: (4,6), (-5,3), (6,-3), (5,5) select one: a. d = {-4, 5, -6, -5} and r = {-6, -3, 3, -5}. b. d = {6, 3, -3, 5} and r = {4, -5, 6, 5}. c. d = {-6, -3, 3, -5} and r = {-4, 5, -6, -5}. d. d = {4, -5, 6, 5} and r = {6, 3, -3, 5}.

Explanation:

Step1: Recall Domain and Range

The domain (D) of a set of coordinates \((x,y)\) is the set of all \(x\)-values, and the range (R) is the set of all \(y\)-values.
For the coordinates \((4,6)\), \((-5,3)\), \((6,-3)\), \((5,5)\):

• The \(x\)-values (domain) are \(4\), \(-5\), \(6\), \(5\).
• The \(y\)-values (range) are \(6\), \(3\), \(-3\), \(5\).

Step2: Match with Options

Check each option:

• Option a: Incorrect \(x\) and \(y\) values.
• Option b: Swapped domain and range.
• Option c: Swapped domain and range and incorrect values.
• Option d: Domain is \(\{4, -5, 6, 5\}\) (correct \(x\)-values) and range is \(\{6, 3, -3, 5\}\) (correct \(y\)-values).

Answer:

d. \( D = \{4, -5, 6, 5\} \) and \( R = \{6, 3, -3, 5\} \)