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Problem

Use the given graph of $ f $ to sketch the graph …

00:52

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Problem 29 Medium Difficulty

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


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00:53

Jeffrey Payo

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Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 5

Inverse Functions and Logarithms

Related Topics

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Integration Techniques

Partial Derivatives

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04:31

Multivariate Functions - Intro

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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12:15

Partial Derivatives - Overview

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.

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00:52

Use the given graph of $ f…

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Sketch the graph of $f$ fr…

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Problem 28
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Problem 42
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Problem 44
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Video Transcript

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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Calculus: Early Transcendentals

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Related Topics

Functions

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Video Thumbnail

04:31

Multivariate Functions - Intro

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.

Video Thumbnail

12:15

Partial Derivatives - Overview

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.

Join Course
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Sketch the graph of $f^{-1}$ from the graph of $f$.
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