Piecewise and Linear Functions Concepts

A function that applies to the entire domain.

A function that is only linear.

A function composed of different functions over different parts of the domain.

A function that is always continuous.

It is defined for all real numbers.

It may have jumps or gaps in the Y values.

It is always linear.

It has no gaps in the Y values.

To denote the function is linear.

To mark the maximum value of the function.

To show the function does not include that point.

To indicate the function includes that point.

The function does not include that point.

The function is continuous at that point.

The function is undefined at that point.

The function includes that point.

y = x - 2

y = -x + 2

y = x + 2

y = -x - 2

0

-1

-2

2

Undefined slope

Positive slope

Zero slope

Negative slope

It has no gaps in the Y values.

It is not defined for all real numbers.

It has gaps in the Y values.

It is always a quadratic function.

Continuous functions have no gaps.

Discontinuous functions are always linear.

Discontinuous functions have no gaps.

Continuous functions have jumps.

Zero

Positive

Negative

Undefined