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For each scatter plot, decide what type of function you might choose as a model for the data. Explain your choices.

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01:27

Jeffrey Payo

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 2

Mathematical Models: A Catalog of Essential Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Missouri State University

Baylor University

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.

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.

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For each scatter plot, dec…

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$19-20$ For each scatter p…

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Which type of function bes…

here we have a couple of scatter plots, and we want to think about what kind of function we would model them with. So we want to think back through all of the basic kinds of functions we know and what they look like. So if you look at a, it reminds me of an exponential growth function. So let's model that one with something exponential. And then if you look at B, it reminds me of part of a graph that would have this kind of shape, and that would be a rational graph or reciprocal in particular, something like F of X equals one over X is what I mean by reciprocal.

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