The best explanation of domain and range with multiple examples

The video tutorial covers the concepts of domain and range in mathematical functions. It begins with an introduction to graphing functions and proceeds to explain the domain and range using linear and constant functions as examples. The tutorial also explores the domain and range of parabolic functions, emphasizing the infinite nature of these values in certain functions. The teacher uses examples and encourages students to think critically about the concepts, ensuring a comprehensive understanding of domain and range.

What is the domain of a function?

• All possible Y values

• All possible X values

• All negative numbers

• All positive numbers

In the context of a linear function, what does it mean if a line has arrows at both ends?

• The line extends infinitely in both directions

• The line is a ray

• The line is finite

• The line is a segment

What is the range of a function?

• All possible X values

• All possible Y values

• All integers

• All real numbers

For the function y = -3, what is the range?

• All positive numbers

• Only y = -3

• All real numbers

• All negative numbers

What is the domain of a quadratic function?

• Only integers

• All real numbers

• All negative numbers

• All positive numbers

For a quadratic function, what is the range if the vertex is at y = -1?

• From -1 to infinity

• Only positive numbers

• From -infinity to -1

• All real numbers

What happens to the width of a parabola as it extends?

• It becomes narrower

• It remains the same

• It becomes wider

• It disappears