Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Graph the function using as many viewing rectangles as you need to depict the true nature of the function.

$ f(x) = e^x + \ln |x - 4| $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Bobby Barnes

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 6

Graphing with Calculus and Calculators

Derivatives

Differentiation

Volume

Campbell University

Baylor University

University of Michigan - Ann Arbor

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

01:10

Graph each of the function…

02:06

02:03

01:51

Compare the functions $f(x…

01:16

Graph the function represe…

you want to grab the function after taxes, equity, eat of X plus natural olive, the value of X minus four, using as maybe Rick tingles as we need to depict the true nature of the function. So here you can see that I went ahead and already grabbed the Kapu viewing rectangles and of this kind of go through my rationale behind why I chose each of the ones I did. So the 1st 1 here on the left is just from negative. X is equal to negative 30 20. And it gives the overall shape of the graph that we have. And I just kind of found this by zooming out as far as I can, and then the first thing I did once I saw this waas, I noticed that around X is equal to four. So in this region right here, it starts to look like it dips down pretty far. So I went ahead and blew up the area around excessively before to give this first graph right here. And you can see that about right here. It looks like we have a local max four this function, and then it just kind of get dips down at Exeter before, then dips back up. And if you were to just keep zooming in and him about excessive or is just going to look more like this or at least with the graphing calculator that I was using is going to just kind of dip down further further. But we know that if we weren't a Plug X is a good four into here, we get a vertical awesome, too, for the natural law. So X is it before is actually a vertical acid trip. So this should just keep on going down and down forever. And it's some points right here and the latter. How much? I actually zoomed in and I could never actually get it to go there because the closer and closer I get to four, it would just say it would become undefined. So maybe if you had a little bit better graphing calculator, you would also find where, where the ex intercepts where there should be. But it should look something kind of more like this here, as opposed to what we actually okay. And that kind of gives us the behavior amount exit before and unfortunately doesn't give us much information. And the other part that I thought was kind of interesting was over here around X is equal toe negative too. So I went ahead and made this area a little bit larger, and we can see that this point here ends up being a local men. And again, this was at X is about negative. 1.7 are negative. So we can kind of see the local backs and local men behavior here, and something else we might be able to notice is it looks like around here we have a point of inflection. So that's why one had included that. And also in our first round here, you might notice that around our local max, we also have a point of inflection that kind of looks like and to the right here. We also have a point of in election. So these were the three viewing rectangles that I thought were useful for describing no ground of dysfunction

View More Answers From This Book

Find Another Textbook

04:37

In a 35 miles per hour speed zone a car driver applies and holds the brakes …

01:54

7 0 1 7 1 XXll 8 8 0 X 8 1 1 {Send a chat

02:24

For a standard normal distribution, find:P(z < 0.21)

01:26

In a certain college; 70% of students take driving lessons before attempting…

01:13

1Time Running Ea LI "uunoh@us'SDoLucilIptsIt is co…

01:22

The frequency distribution below summarizes the home sale prices in the city…

05:34

1.A box is t0 be constructed $0 that its width is 4 cm more than its depth a…

02:37

company produces very unusual CDs for which the variable cost is S7 per CD a…