The hourly wage increase each employee receives each year depends on their number of years of service. every three years of service means an increase of $0.50 per hour. so, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. and, employees of at least nine years, but less than twelve years receive an increase of $2.00. write a function to represent this scenario. this function is a step function.

true or false

The function represents this scenario is:

It is true that function is a step function.  

Step-by-step explanation:

Consider the provided information.

Let x is the number of years of service.

For less than use the inequality < and for at least use the inequity ≤.

It is given that employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour.

Which can be written as:

0.05 if 0 ≤ x < 3

Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00.

This can be written as:

1.00 if 3 ≤ x < 6

Employees that have been with the company for at least six years, but less than nine years, receive an increase of $1.50 per hour.

This can be written as:

1.50 if 6 ≤ x < 9

And, employees of at least nine years, but less than twelve years receive an increase of $2.00.

This can be written as:

2.00 if 9 ≤ x < 12

Hence, the function represents this scenario is:

Step function is the is a piece wise function includes all constant piece.

For example:

The obtained function is also a piece wise function includes all constant piece.

Hence, it is true that function is a step function.