Problem

Graph the given functions on a common screen. How…

01:36

Problem 8 Medium Difficulty

Graph the given functions on a common screen. How are these graphs related?

$ y = e^x $ , $ y = e^{-x} $ , $ y = 8^x $ , $ y = 8^{-x} $

Answer

see solution

Missouri State University

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

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Video Transcript

in this problem, we're going to compare some graphs using a graphing calculator. So we go to the y equals menu. We type in the four functions Michael's either the X Y equals E to the opposite of X Michael's A to the X and Y equals eight to the opposite of X. Now, before I look at all four of those graphs at the same time, I'm just going to look at the 1st 2 y equals e to the X and e to the opposite of X. So I've turned off the equal signs on the last two and here we go. Okay, so the blue one is y equals e to the X. That looks like your typical exponential growth. And the red one is y equals each of the opposite of X. These air reflections across the Y axis. Now let's take a look at the other two. So let's turn off the 1st 2 and turn on the last two. Okay, so the black one is y equals eight to the X, and the pink one is y equals eight to the opposite of X notice that these air also reflections across the Y axis So if you replace X with the opposite of X, you reflect across the Y axis. Now let's take a look at y equals E to the X, and why equals eight b x. These are both exponential growth. The one with the base of eight is steeper. And now let's take a look at why equals either the opposite of X and eight Michael's eight to the opposite of X. So these are both exponential decay. The one with the base of eight is deeper, so we had to exponential growth to exponential decay. To that were reflections across the Y axis from one another two pairs.

Heather Z.

Oregon State University

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Calculus: Early Transcendentals

Chapter 1

Functions and Models

Section 4

Exponential Functions

Problem