Question

q 7 which of the following sets of ordered pairs represent a function? select two correct answers. (3,2) (3,4) (3,6) (3,8) (4,2) (-4,5) (0,3) (-4,8) (-3,6) (-2,8) (-1,7) (0,6) (-1,3) (-1,2) (2,-3) (-4,2) (1,1) (2,4) (3,9) (4,16)

Explanation:

Step1: Recall function definition

A set of ordered - pairs is a function if each input (first element of the ordered - pair) is associated with exactly one output (second element of the ordered - pair).

Step2: Analyze first set

In the set \((3,2),(3,4),(3,6),(3,8)\), the input \(x = 3\) is associated with multiple outputs (\(2\), \(4\), \(6\), \(8\)), so it is not a function.

Step3: Analyze second set

In the set \((4,2),(-4,5),(0,3),(-4,8)\), the input \(x=-4\) is associated with two outputs (\(5\) and \(8\)), so it is not a function.

Step4: Analyze third set

In the set \((-3,6),(-2,8),(-1,7),(0,6)\), each input \(-3\), \(-2\), \(-1\), \(0\) has a unique output. So it is a function.

Step5: Analyze fourth set

In the set \((-1,3),(-1,2),(2,-3),(-4,2)\), the input \(x = - 1\) is associated with two outputs (\(3\) and \(2\)), so it is not a function.

Step6: Analyze fifth set

In the set \((1,1),(2,4),(3,9),(4,16)\), each input \(1\), \(2\), \(3\), \(4\) has a unique output. So it is a function.

Answer:

C. \((-3,6),(-2,8),(-1,7),(0,6)\)
E. \((1,1),(2,4),(3,9),(4,16)\)