Mapping Relations and Functions Quiz

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What is the domain of the given set of ordered pairs?

{-1, 0, 2, 4} (correct)
{0, 2, 3, 7}
{-1, 0, 2, 5}
{-1, 2, 4, 5}

Which of the following represents the range of the given ordered pairs?

{2, 3, 4, 5}
{0, 3, 5}
{-2, 0, 3, 5, 7} (correct)
{-2, 0, 5, 7}

Which of the following ordered pairs is NOT part of the original set?

(4, -2)
(0, 7)
(2, 3)
(3, 2) (correct)

What would be the inverse of the ordered pair (0, -1)?

(-1, 0) (B) Signup and view all the answers

What is the definition of the domain in a relation?

The set of all input values of the relation (C) Signup and view all the answers

What is the domain of the mapping diagram described?

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In the map representation, what corresponds to the x-value of 4?

-2 (C) Signup and view all the answers

How are ordered pairs represented in a mapping diagram?

As lines connecting input values to their output values (B) Signup and view all the answers

Which representation would best show the relationship between two variables visually?

Scatter plots (C) Signup and view all the answers

In a table of values, what do the columns typically represent?

Input values (x) and their corresponding output values (y) (A) Signup and view all the answers

Which of the following is NOT a way to represent a relation?

Bar graphs (C) Signup and view all the answers

What defines the domain of a relation?

The set of possible input values (x-values). (A) Signup and view all the answers

Which of the following correctly describes the range of the relation based on the given ordered pairs?

{-4, 1, 2} (D) Signup and view all the answers

What is the result of forming the inverse relation of the set of ordered pairs {(0,2), (4,2), (5,1), (7,-4)}?

{(2,0), (2,4), (1,5), (-4,7)} (A) Signup and view all the answers

Which of the following statements is true regarding the representation of a relation?

A relation can be represented as a graph, table, or mapping diagram. (D) Signup and view all the answers

Which of the following pairs does not belong in the set of ordered pairs of the relation displayed in the example?

(5, 3) (A) Signup and view all the answers

What is a characteristic of ordered pairs in relation to functions?

They represent the relationship between inputs and outputs. (C) Signup and view all the answers

Which representation of a function organizes the input and output values in a structured format?

Table (A) Signup and view all the answers

What visual elements are used in mapping diagrams to represent the domain and range?

Circles representing inputs and outputs (A) Signup and view all the answers

How does a graph represent a function?

By showing the relationship on a grid with plotted points. (B) Signup and view all the answers

When representing an inverse function, how are the (x,y) pairs altered?

The pairs are swapped to become (y,x). (A) Signup and view all the answers

Which of the following pairs represents an element of the inverse relation?

(-1, -2) (C), (3, 4) (D) Signup and view all the answers

What is the correct representation for the range of the given mapping diagram?

{-4, -1, 2, 3, 5} (B) Signup and view all the answers

Which of the following statements about the mapping diagram is true?

Each x-value corresponds to one y-value in the mapping diagram. (B) Signup and view all the answers

Which ordered pair appears twice in the original set of ordered pairs?

(4, -4) (C) Signup and view all the answers

In the context of the mapping diagram, which of the following is a characteristic of the domain?

It contains unique x-values from the ordered pairs. (C) Signup and view all the answers

Relation

A set of ordered pairs, which can be depicted as a table or a graph, and includes input and output values.

Mapping Diagram

A diagram that visually represents a relation by connecting input values to their corresponding output values.