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Let $ f(x) = \sqrt{1 - x^2} $ , $ 0 \le x \le 1 $…

02:23

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Problem 30 Medium Difficulty

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


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00:40

Jeffrey Payo

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 5

Inverse Functions and Logarithms

Related Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

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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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Use the given graph of $ f…

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Sketch the graph of $f$ fr…

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Problem 37
Problem 38
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Problem 45
Problem 46
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Problem 48
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Problem 51
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Video Transcript

all right here we have a rough sketch of the graph of F, and we want to graph its inverse. So let's start by giving the coordinates of a couple of key points on F notice that F goes through the 0.1 and it goes through the 0.20 while F inverse will then go through the 0.10 and the 0.2 we switched the coordinates. So let's start by plotting those points 10 and zero to now. Remember, we're expecting these graphs to look like reflections across the line Y equals X, so it might help to have that line sketched in. Now we connect these points and make a curve and make it look like it's a reflection. Across that line. We'll get something sort of like that.

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Calculus: Early Transcendentals

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Related Topics

Functions

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Lily An

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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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