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The functions in Example 10 and Exercise 67 are called step functions because their graphs look like stairs. Give two other examples of step functions that arise in everyday life.

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Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 1

Four Ways to Represent a Function

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Johns Hopkins University

Oregon State University

Harvey Mudd College

Boston College

Lectures

04:31

A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

02:37

The functions in Example 1…

02:03

Step Functions In Example …

06:07

In Example 7 and Exercises…

01:48

01:42

The function in Example 11…

06:14

give an example of step fu…

02:52

DISCUSS: Examples of Funct…

00:37

came functions and example ten and exercise sixty seven are called step function because they're graph looks like stairs give to other examples of step functions that arise in everyday life. Okay, so I guess one example would be the height of water in a cup if if I were to drink the water and maybe not drink the whole thing and stop and set it back on the table. So the height of the water is here and I drink some. Maybe I drink some and it will remain that way. They said on the table. Then drink some more in maybe a little bit less is in the cup until I drink the whole thing. Okay. And number two second example would be turning off a light switch throughout the day. Light switch may be in my room or in my office. Okay? It's either on or it's off. So maybe when I wake up in the morning, it's off throughout threat morning until I decided to wake up and it's on and maybe it's own for, like, an hour and then So I need and I just had to turn it off. I go to work, but work. And then maybe when I come back home, I turn it on for a little bit. And then as a c I go to bed, All turn back off. Here are my two examples.

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