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Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.

$ y = \mid x - 2 \mid $

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$y=|x-2|=$ Start with the graph of$y=|x|$ and shift 2 units to the right.

00:45

Jeffrey Payo

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 3

New Functions from Old Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

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Harvey Mudd College

University of Nottingham

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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.

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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.

00:36

Graph the function by hand…

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01:27

to grab this function will start by looking at the graph of the standard function Y equals the absolute value of X. So that's your basic V shaped curve. It has a vertex at 001 line with a slope of 11 lying with a slope of negative one. Now what happens to it? If we subtract two from X, we shift the whole Graf right to so that will look like we need to take that vertex and shifted to the right to and that will look like this. Still have a slope of one over there still have a slope of negative one over there.

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