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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 $

a. hb. odd, Fc. even , G

01:38

Jeffrey P.

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

Emerson A.

October 18, 2020

Johns Hopkins University

Missouri State University

Campbell University

Boston College

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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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