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Use the given graph of $ f $ to sketch the graph of $ f^{-1} $.
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00:40
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
Baylor 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.
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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.
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Use the given graph of $ f…
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Use the graph of f to sket…
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Use the graph of $f$ to sk…
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Sketch the graph of $f$ fr…
Sketch the graph of $f^{-1…
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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