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Problem

What do all members of the family of linear funct…

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Problem 7 Medium Difficulty

(a) Find an equation for the family of linear functions with slope 2 and sketch several members of the family.
(b) Find an equation for the family of linear functions such that $ f(2) = 1 $ and sketch several members of the family.
(c) Which function belongs to both families?


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Related Courses

Calculus 1 / AB

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Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 2

Mathematical Models: A Catalog of Essential Functions

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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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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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Problem 15
Problem 16
Problem 17
Problem 18
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Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
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Problem 28
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Problem 31
Problem 32

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Calculus: Early Transcendentals

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Video Thumbnail

12:15

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