What is the domain and range of a quadratic graph

The video tutorial explains the concepts of domain and range in mathematical functions, focusing on parabolas. It covers how to graph parabolas with minimum and maximum values, and discusses the domain as the set of all possible x-values and the range as the set of possible y-values. The tutorial also explores how these concepts apply to specific equations, emphasizing that the domain of parabolas is all real numbers unless constrained, while the range depends on the graph's orientation and vertex.

What is the definition of the domain in the context of a function?

What is the relationship between the input values (X values) and output values (Y values) in a function?

How can you determine the range of a function from its graph?

What does it mean for the domain of a function to be all real numbers?

Explain the significance of the vertex in relation to the range of a parabola.

How do you find the minimum or maximum value of a parabola, and why is it important?

Describe how the direction in which a parabola opens affects its range.