Question

Which graph shows a set of ordered pairs that represent a function?

On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).

On a coordinate plane, solid circles appear at the following points: (negative 4, negative 4), (negative 2, 2), (1, 1), (2, negative 5), (4, negative 3), (4, 4).

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).

Answer 1

Answer: On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).

Explanation:

A function is a relation in which only one output value is associated with each input variable .

In coordinate - plane , we denote x= independent variable or as input value.

y= dependent variable or output value.

The first option is not a function because there are 2 output values corresponding to one input value (2, negative 1) and (2, negative 3).

The second option is not a function because there are 2 output values corresponding to one input value (4, negative 3) ,(4, 4).

The fourth option is not a function because there are 2 output values corresponding to one input value (negative 2, 1), (negative 2, negative 1) .

Only in third option , only one output value is associated with each input variable .

Therefore , the correct answer is "On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1)."

Answer 2

Make XY tables for each option.

If any of the Tables have identical X numbers it is not a function.

The first option has two X's that re 2, so is not a function.

Second option has 2 x's that are 4's, so is not a function.

The third option has no repeating X values so is a function.

The fourth option has two -2's and two 0's so ids not a function.

The function is the third choice:

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).