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Problem

Match each equation with its graph. Explain your …

01:10

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Problem 3 Easy Difficulty

Match each equation with its graph. Explain your choices. (Don't use a computer or graphing calculator.)

(a) $ y = x^2 $
(b) $ y = x^5 $
(c) $ y = x^8 $


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Jeffrey Payo

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 2

Mathematical Models: A Catalog of Essential Functions

Related Topics

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

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EA

Emerson A.

October 18, 2020

Top Calculus 3 Educators
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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.

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.

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Watch More Solved Questions in Chapter 1

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32

Video Transcript

in this problem. We want to match the equations with the graphs, and so hopefully we're familiar enough with y equals X squared. We've had lots of practice with those that we should look like a parabola with its Vertex at 00 and that graph matches with H. Okay, when we look at y equals X to the fifth power, we realized that that's an odd function, so it should demonstrate, Ah, symmetry about the origin, and that's the one that's going to look like this. And so that goes with Graf F. Obviously, the only one we have left is G. But why does it match with G? When you see something like X to the eighth or X to the sixth or extra the fifth, they're going to behave very similarly to y equals X squared. It's going to be uneven function there just a little bit wider at the bottom, and that matches with graph g

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Calculus: Early Transcendentals

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Related Topics

Functions

Integration Techniques

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Video Thumbnail

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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

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