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A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.
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00:41
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
Campbell University
Harvey Mudd College
University of Nottingham
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.
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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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A function is given by a t…
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A function is given by a …
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The question here is whether or not F is a 1 to 1 function. So in order to be 1 to 1 for every X value, there's only one why value? And for every y value, there's only one X value. So when we look at the table, we see that we have a Y value of 2.0, that corresponds to two different X values, so that means it's not 1 to 1.
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