Determining when a function is increasing decreasing or constant

The video tutorial explains piecewise functions, which are combinations of multiple functions defined by specific constraints. It covers how to identify intervals where the graph is increasing, constant, or decreasing. The tutorial highlights that the graph is increasing from negative infinity to zero and from two to infinity, with no decreasing intervals. It also explains constant intervals between zero and two. The instructor uses a car speed analogy to clarify these concepts.

What is a piecewise function?

• A function that decreases over its entire domain

• A function that is defined by a single equation

• A combination of multiple functions, each with its own constraints

• A function that is constant over its entire domain

In which interval is the graph increasing?

• From 0 to 2

• From negative infinity to 0 and from 2 to infinity

• From 0 to infinity

• From negative infinity to 2

What is the behavior of the graph between 0 and 2?

• It is increasing

• It is constant

• It is undefined

• It is decreasing

Which analogy is used to explain the behavior of piecewise functions?

• The flight of a bird

• The flow of a river

• The speed of a car

• The growth of a plant

What happens to the graph after it is constant from 0 to 2?

• It jumps up and starts increasing

• It remains constant

• It becomes undefined

• It decreases