Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sketch the graph of the function.

$ f(x) = | x + 2 | $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

see solution

02:30

Jeffrey Payo

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

Missouri State University

Oregon State University

University of Michigan - Ann Arbor

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.

00:20

Sketch the graph of functi…

01:03

Sketch the graphs of the f…

00:28

Sketch the graph of $f$

01:39

Sketch the graph of the fu…

we want to sketch the graph of this function. And so we should first think about its parent function. Y equals the absolute value. Becks. Hopefully, we have a feel for what that looks like. That's going to be that V shaped graph, which has a vertex at 00 and one line has a slope of one. The other has a slope of negative one. So then our function f of X is going to be that function but translated to the left to, and we can also find some points to plot. The pivotal point will be where the where we're taking the absolute value of zero, and so that will be negative, too. If you have X equals negative to the Y, value will be zero. Now let's find the coordinates of a couple points to the left of and to the right of that. So to the left of that, we could do negative three and negative four f of negative three is one f of negative four is, too. To the right of that, we could do negative one and zero f of negative. One is one N f of zero is, too. So let's go ahead and plot those points. So if negative to zero negative 31 negative four to negative 11 and zero to and then we can connect those. And we have that V shaped absolute value graph.

View More Answers From This Book

Find Another Textbook