The bar graph shows minimum legal ages for sex and marriage...

The bar graph shows minimum legal ages for sex and marriage in five selected countries. Use this information to solve Exercises $99-100 .$ (We did not include data for the United States because the legal age of sexual consent varies according to state law. Furthermore, women are allowed to marry younger than men: 16 for women and 18 for men. ) (Bar graph can't copy) a. Write a set of five ordered pairs in which countries correspond to the minimum legal age of sexual consent. Each ordered pair should be in the form (country, minimum legal age of sexual consent). b. Is the relation in part (a) a function? Explain your answer. c. Write a set of five ordered pairs in which the minimum legal age of sexual consent corresponds to a country. Each ordered pair should be in the form (minimum legal age of sexual consent, country). d. Is the relation in part (c) a function?

The bar graph shows minimum legal ages for sex and marriage in five selected countries. Use this information to solve Exercises $99-100 .$ (We did not include data for the United States because the legal age of sexual consent varies according to state law. Furthermore, women are allowed to marry younger than men: 16 for women and 18 for men. )
(Bar graph can't copy)
a. Write a set of five ordered pairs in which countries correspond to the minimum legal age of sexual consent. Each ordered pair should be in the form
(country, minimum legal age of sexual consent).
b. Is the relation in part (a) a function? Explain your answer.
c. Write a set of five ordered pairs in which the minimum legal age of sexual consent corresponds to a country. Each ordered pair should be in the form (minimum legal age of sexual consent, country).
d. Is the relation in part (c) a function?

Key Concepts

Domain and Range

In the context of functions and relations, the domain refers to the set of all possible input values, while the range refers to the set of all possible outputs that the relation or function can produce. Understanding the domain and range is crucial for analyzing and graphing functions, as they set the boundaries within which the function operates.

Function

A function is a specific type of relation where each input from the domain is associated with exactly one output in the range. This means that no single input value corresponds to more than one output value. The concept of a function is key in mathematics because it establishes predictable and consistent relationships between variables.

Relation

A relation in mathematics is a set of ordered pairs that associate elements from one set with elements in another. This can be thought of as a rule or correspondence linking inputs from one set (called the domain) to outputs in another set (called the range). Relations can be represented in various ways including graphs, tables, and sets of ordered pairs.

Ordered Pair

An ordered pair is a fundamental concept in mathematics that consists of two elements arranged in a specific order, usually written as (a, b). The order matters here, meaning (a, b) is not the same as (b, a) unless a equals b. This concept is used to represent relationships between two values or objects, and it is foundational in the study of relations and functions.

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