Domain and Range

The video tutorial introduces functions as a special type of relation where each input has a unique output, using real-world examples like vending machines and texting. It explains the concepts of domain and range, including how they can be represented with notation. The tutorial covers linear functions, highlighting that their domain and range are all real numbers. It also discusses quadratic functions, showing how their graphs form parabolas with specific ranges. Finally, the video demonstrates how graphs can be used to visualize the domain and range of functions.

What is a function in mathematical terms?

• A relation where one input can have multiple outputs

• A relation where each input has exactly one output

• A relation where outputs determine the inputs

• A relation where inputs and outputs are not related

Which of the following represents the domain of a function?

• The set of all possible input values

• The set of all possible output values

• The set of all possible values

• The set of all possible y values

How is the domain of a linear function typically represented?

• As a set of real numbers

• As a set of natural numbers

• As a set of integers

• As a set of complex numbers

What shape does the graph of a quadratic function typically form?

• A straight line

• A circle

• A parabola

• A hyperbola

In the graph of a quadratic function, where is the range located?

• On the y-axis

• Below the x-axis

• Above the x-axis

• On the x-axis