# Give two other examples of step functions that arise in everyday life.

BuyFind

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.1, Problem 62E
To determine

Expert Solution

## Answer to Problem 62E

Function involving this sort of “milestone” system will be graphed as a step function.

### Explanation of Solution

Given information:

The functions in Example 10 and Exercise 61(a)are called step functions because their graphs look like stairs. Give two other examples of step functions that arise in everyday life.

Calculation:

Consider the graph of the number of runners who have crossed the finish line in a race vs. time.

In this graph, shown here in the range 10

Here’s another example: at some companies, the salary a worker is paid depends directly on the amount of time that they have spent at that comapany. A grapg of this will also look like a step function:

From the graph we see that there are six distinct salary levels, all increasing as an employee hits a certain number of years spent at the firm.

Hence, any function involving this sort of “milestone” system will be graphed as a step function.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!