Problem

Match each equation with its graph. Explain your …

01:10

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 $

Answer

a. h
b. odd, F
c. even , G

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

Heather Z.

Oregon State University

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

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