Functions, Domains, and Ranges: Understanding the Basics

Functions, Domains, and Ranges: Understanding the Basics

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

University

Hard

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The video tutorial introduces the concept of functions, starting with a linear function example, explaining the domain and range, and identifying it as a one-to-one function. It then explores quadratic functions, showing how they can be many-to-one, and discusses how to determine their range by graphing. Finally, it presents an example of a mapping that is not a function, explaining the concept of one-to-many mappings and how to adjust them to become functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main characteristic of a one-to-one function?

Each output is related to exactly one input.

Each input is related to multiple outputs.

Each input is related to exactly one output.

Each output is related to multiple inputs.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the quadratic function example, what type of function is demonstrated?

One-to-one function

Many-to-one function

One-to-many function

None of the above

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the quadratic function discussed in the video?

fx is greater or equal to -12.25

fx is greater or equal to -10

fx is greater or equal to 0

fx is greater or equal to -3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the mapping x goes to plus or minus root of x not considered a function?

It is a many-to-one mapping.

It has no range.

It is a one-to-many mapping.

It has no domain.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can a one-to-many mapping be modified to become a function?

By changing the domain to all real numbers.

By adding a minus sign.

By removing a minus sign.

By changing the range to all real numbers.