Step: 1

A relation is a function if every input has exactly one output.

Step: 2

The relation is not a function because the input - 3 has two outputs: - 3 and - 4.

Correct Answer is : It is not a function

Step: 1

A relation is a function, if, every input, has exactly one output.

Step: 2

The relation is not a function because the input 27 has two outputs: - 29 and - 30.

Correct Answer is : It is not a function

Step: 1

For the choice A: x = 2 + y ⇒ y = x - 2

The graph has uniquey value for a unique value of x . Hence, it is a function. In other words, no vertical line intersects the graph in more than one point.

The graph has unique

[Vertical line test.]

Step: 2

For the choice B: y = x + 5

The graph has uniquey value for a unique value of x . Hence, it is a function. In other words, no vertical line intersects the graph in more than one point.

The graph has unique

[Vertical line test.]

Step: 3

For the choice C: y = x ^{2}

Here, the graph has twoy values for every positive value of x . Hence, it is a function. In other words, no vertical line intersects the graph in more than one point.

Here, the graph has two

[Vertical line test.]

Step: 4

For the choice D: x = 2y ^{2} ⇒ y = ± x 2

Here, the graph has twox values for every positive value of y . Hence, it is not a function. In other words, the vertical line intersects the graph in more than one point.

Here, the graph has two

[Vertical line test.]

Correct Answer is : x = 2 y ^{2}

Step: 1

Draw the mapping diagram for the given relation.

Step: 2

A relation is a function if each element in the domain is paired with one and only one element in the range.

Step: 3

From the mapping diagram, it can be observed that figuire 2 matches with the given relation and it also represents that given relation is a function.

Correct Answer is : Figure 2, Relation is a function

Step: 1

A relation is a function if every input has exactly one output.

Step: 2

The relation is not a function because the input 2 has three outputs: - 4, 5 and - 6.

Correct Answer is : It is not a function

Step: 1

A relation is a function if for every input there is exactly one output.

Step: 2

The relation given is not a function because the input 1 has two outputs - 2 and 3.

Correct Answer is : It is not a function.

Step: 1

A relation is a function if every input has exactly one output.

Step: 2

The given relation has exactly one output for each input. So, the relation is a function.

Step: 3

The domain is {5, 6, 7, 8} and range is {14, 16, 18, 20}.

Correct Answer is : it is a function

domain: {5, 6, 7, 8} range: {14, 16, 18, 20}

Step: 1

A relation is a function, if, every input, has exactly one output.

Step: 2

The relation is not a function because the input 18 has two outputs: - 20 and - 21.

Correct Answer is : It is not a function

Step: 1

Draw the mapping diagram for the given relation.

Step: 2

A relation is a function if each element in the domain is paired with one and only one element in the range.

Step: 3

From the mapping diagram, it can be observed that the given relation is a function.

Correct Answer is : Figure 4, Relation is a function

Step: 1

A relation is a function if every input has exactly one output.

Step: 2

In the plot, for each x -coordinate, there is only one y -coordinate.

[No two points have same y -coordinates.]

Step: 3

So, the relation is a function.

Correct Answer is : It is a function.

Step: 1

The given ordered pairs are: {(4, 66), (5, 96), (3, 50)}

Step: 2

A relation is a function if each input corresponds to one and only one output.

Step: 3

So, the given relation is a function.

Correct Answer is : It is a function.

Step: 1

A relation is a function if for every input there is exactly one output.

Step: 2

The relation given is not a function because the input 2 has two outputs - 3 and 1.

Correct Answer is : It is not a function.

Input | Output |

- 3 | - 5 |

- 4 | - 7 |

- 9 | - 19 |

- 6 | - 11 |

Step: 1

A relation is a function if every input has exactly one output.

Step: 2

The relation given is a function.

Step: 3

The domain is - 3, - 4, - 9 and - 6, range is - 5, - 7, - 19 and - 11

Correct Answer is : It is a function, domain: - 3, - 4, - 9 and - 6, range: - 5, - 7, - 19 and - 11.

Step: 1

A relation is a function if every input has exactly one output.

Step: 2

The relation is not a function because the input 5 has three outputs: - 7, 8, and - 9.

Correct Answer is : It is not a function

Step: 1

A relation is said to be a function if every input has exactly one output.

Step: 2

The inputs 2, 4, and 6 have more than one output.

Step: 3

So, the relation is not a function.

Correct Answer is : It is not a function.

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- Relation