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

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

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.

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 62E , additional homework tip  1

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:

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 62E , additional homework tip  2

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.

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