On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?

(1, 3)

Step-by-step explanation:

Given:

A circle with the following points on it-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function is just like a machine that gives an output for a given unique input.  No two outputs can have the same input.

The input to a function is called the domain of a given function. The output of a function is called its range.

The domain is represented by the 'x' coordinate and the range is represented by the 'y' coordinate.

So, the domain is the independent variable and range depends on the values of the domain.

Now, a relation of set of points represents a function only if all the 'x' coordinates of the set of ordered pairs are different.

Now, in the relation above, the ordered pairs (1, 1) and (1, 3) have the same input. So removing either of the two will make the relation a function.

So, the correct option is (1, 3).

An ordered pair is the coordinate point of a relation.

The ordered pair that represents a function is: (-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2), (4, 3)

For an ordered pair to be a function, either of the following must be true:

If any of the following conditions is true, then the ordered pair is not a function

Of the given options, only ordered pair (-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2), (4, 3) satisfies the condition to be a function

This is so because none of its x-values have multiple corresponding y-values.

Other ordered pairs are either one-to-many or many-to-many.

Read more about ordered pairs at:

link

A function must associate only one output to each input. So, you must rule out all the ordered pairs that associate two outputs to the same input.

In the first answer we have both and . So, this is not a function because there is ambiguity defining . Should it be or ?

In the second answer we have both and . So, this is not a function because there is ambiguity defining . Should it be or ?

The third answer is a function because all input-output associations are unique: we have

In the fourth answer we have both and . So, this is not a function because there is ambiguity defining . Should it be or ?

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).

A function must associate only one output to each input. So, you must rule out all the ordered pairs that associate two outputs to the same input.

In the first answer we have both and . So, this is not a function because there is ambiguity defining . Should it be or ?

In the second answer we have both and . So, this is not a function because there is ambiguity defining . Should it be or ?

The third answer is a function because all input-output associations are unique: we have

In the fourth answer we have both and . So, this is not a function because there is ambiguity defining . Should it be or ?

The answer is in the image 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is given in the image below