Question

A study found that the trans fat content in fast-food products varied widely around the world, based on the type of frying oil used, as shown in the table. If the set of countries is the domain and the set of trans fat percentages is the range of the function consisting of the six pairs listed, is it a one-to-one function? Why or why not?

Name: Problem 1, Chapter 12: Beginning and Intermediate Algebra
Uploaded: 2020-07-13T23:20:00-08:00
Duration: 1 min 42 s
Channel: Melissa Salvador
Description: A study found that the trans fat content in fast-food products varied widely around the world, based on the type of frying oil used, as shown in the table. If the set of countries is the domain and the set of trans fat percentages is the range of the function consisting of the six pairs listed, is it a one-to-one function? Why or why not?

   A study found that the trans fat content in fast-food products varied widely around the world, based on the type of frying oil used, as shown in the table. If the set of countries is the domain and the set of trans fat percentages is the range of the function consisting of the six pairs listed, is it a one-to-one function? Why or why not?

Beginning and Intermediate Algebra

Margaret L. Lial ,… 5th Edition

Chapter 12, Problem 1

Instant Answer

Solved by Expert Melissa Salvador

07/13/2020

Step 1

A function is said to be one-to-one if every element in the domain corresponds to exactly one unique element in the range. In other words, no two different elements in the domain are associated with the same element in the range. Show more…

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A study found that the trans fat content in fast-food products varied widely around the world, based on the type of frying oil used, as shown in the table. If the set of countries is the domain and the set of trans fat percentages is the range of the function consisting of the six pairs listed, is it a one-to-one function? Why or why not?

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Key Concepts

Domain

The domain of a function is the complete set of all possible input values for which the function is defined. In the context of the problem, this refers to the set of countries included in the study.

One-to-One Function

A one-to-one function, also known as an injective function, is defined such that each distinct element in the domain corresponds to a distinct element in the range. This means that no two different inputs will produce the same output.

Range

The range of a function is the set of all output values obtained by applying the function to the elements of the domain. In this case, it is the set of trans fat percentages found in the fast-food products.

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