How to find the domain and range of a piecewise function graph

The video tutorial explains the concepts of domain and range in mathematical functions. It describes how the domain consists of all possible X values for which a function is defined, and how the range includes all possible Y values that a function can output. The tutorial uses a graph to illustrate these concepts, showing how to determine if a point is part of the domain or range by checking if it corresponds to a point on the graph.

What does the domain of a function represent?

• The lowest point on the graph

• The highest point on the graph

• All possible X values of a function

• All possible Y values of a function

How can you determine if a point is part of the domain?

• By checking if there is a corresponding point on the graph

• By checking if the point is at the origin

• By checking if the point is on the Y-axis

• By checking if the point is on the X-axis

What does it mean if a function's domain extends to infinity?

• The function is undefined

• The function has no range

• The function is defined for all X values in that direction

• The function is only defined for positive X values

What is the range of a function?

• The lowest point on the graph

• All possible Y values of a function

• The highest point on the graph

• All possible X values of a function

How can you determine the range of a function?

• By checking if there is a corresponding point on the graph for each Y value

• By checking if the graph touches the X-axis

• By checking if the graph is continuous

• By checking if the graph is symmetrical