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.  

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.