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Use the given graph of $ f $ to sketch the graph of $ f^{-1} $.

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00:53

Jeffrey Payo

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 5

Inverse Functions and Logarithms

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Johns Hopkins University

Campbell University

University of Michigan - Ann Arbor

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.

00:52

Use the given graph of $ f…

01:24

Use the graph of f to sket…

02:44

Use the graph of $f$ to sk…

01:19

Sketch the graph of $f$ fr…

Sketch the graph of $f^{-1…

here were given a rough sketch of the graph of F, and we want to graph f inverse. So let's look at some of the key points on F. It goes through the point. Negative one negative, too. One negative one to to 33 So if in verse, will have those coordinates switched. So if inverse will go through negative to negative one negative 11 to to and 33 So let's start by plotting those points negative to negative one. Negative. 11 2233 Let's connect those with line segments. And now what we should observe is that these graphs are reflections across the line. Y equals X. Here's the line Y equals X. They do, indeed to look like appear to look like reflections across that line.

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