Question

For exercises 12 – 14, use the following information.

A downtown parking lot charges \(2 for the first hour and \)1 for each additional hour or part of an hour.

13. Draw a graph of function that represents this situation.

Short answer

Step Function - A function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals

Step-by-step solution

Step-1 – Step function

Step Function - A function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals

Step-2 – Write the given statement.

The parking charge for first hour is 2 dollars and for each additional hour the parking charge is extra 1 dollars.

Since extra 1 dollar is added to the charge of first hour. For additional hours the charges

Will be $2, 2+1, 3+2, 4+1, 5+1, 6+1, 7+1, 8+1,...$

Step-3 – Draw the graph.

Since, the cost of parking must be an integer greater than or equal to 2, So the function is a step function.

The required graph is shown below: