sketch-the-graphs-of-the-given-functions-check-each-by-displaying-the-graph-on-a-calculator-leftyf-4

Question

Sketch the graphs of the given functions. Check each by displaying the graph on a calculator.
$\left.y=\frac{1}{2}\left(e^{x}-e^{-x}ight) 	ext { (See Exercise } 53 	ext { of Section } 27.6 .ight)$

Stanley Enemuo · Accepted Answer

In this problem, we have to sketch the graph of Y is equal to one of the two tom suites and a negative each of the x minus E to the negative. So first by seven X is equal to zero. You can see that the answer is self is zero, comma zero. Once you grab this function and the point of inflection, It&#x27;s also zero, Comments 0. So using this information must respect the curve. We have something that looks like this.

Becca Fenton · Answer

here we have the function of two times E to the power of X. When you are doing this on your computer or on your calculator, you need to make sure to do second natural log and Natural Bog is spelled L N or represented as l N on your computer. So just like we&#x27;ve done before, we&#x27;ve got our exes here, and then we&#x27;re gonna plug those exes in to our function. Let me write that function here, okay? And so when we have negative three as our X, it&#x27;s going to look like two times each the power of negative three. And when that is put into our calculator using our second natural log, we get zero point 09957 So 0.99 57 That&#x27;s a lot less than 17 to put it almost on the line here. Okay, that little green dot represents where we&#x27;re going. And then on negative one. When we do that same calculation, we get zero 0.7358 case, a negative one, and this is a little bit more than half year. So let&#x27;s put it up there. And then for two when we do that same calculation. But with two get 14.778 and so too 14 to got 3456789 10 11 12 13 and 14 0.7. So it&#x27;s up just a little bit war. And let&#x27;s put a dot right there and then our last one when we put in five as our X is 296 0.8 to 6. I&#x27;m not gonna put that on this graph. It&#x27;s gonna be all the way up here past our screen. But I will go ahead and put our little parabola our exponential function. So you make sure that we&#x27;re going through our dots here, here and that it takes a sharp turn and goes up for quite a while. Okay? And this does not reach zero. That is what your graph would look like.

Ankit Gupta · Answer

in this question, we have to graft the function. Why equals a to the power X minus two? Using the graphing calculator, we get the graph as like this.

Ankit Gupta · Answer

in this question, we have to graph why equals e to the power X minus one. Using the graphing calculator, selecting the explanation function from the graphing calculator we get the graph as this.

Jeremy Strong · Answer

So for this question, were given that F of X is equal 1/3 to the x power and were asked to sketch a ref a rough graph, What the functions going to look like. So when we played an X is equal to one, we&#x27;re actually going to get 1/3. So that&#x27;s gonna give us the point up here. And when we plug in to for X, we&#x27;re going to get 1/3 squared, which is one not. And then when we plug in three, we&#x27;re going to get one over three Cube, which is 1 27 And it&#x27;s also important that when we put in 0 1/3 to the zero power, anything to the zero power is one. So we&#x27;re actually going to get a very hub wanna intercept. So from these points, we can kind of sketched a rough graph. The function is going toe. No doubt it&#x27;s always decreasing for positive, positive increase in eggs. So this is a rough estimation of what 1/3 to the X power looks like graphically, and we&#x27;re done

Jeffrey Russell · Answer

we want to sketch the graph of the function F of X is equal to 1/3 to the X power by graphing a table of values. So I have seven values of X and their corresponding values of F of X here, and at this point, you would connect them by hand with a sketch. But to illustrate that here, I&#x27;m just going to grab the permission itself. F of X is equal to 1/3 to the axe until you&#x27;re curve will look something like this.

Problem

Sketch the graphs of the given functions. Check e…

Problem 13 Easy Difficulty

Sketch the graphs of the given functions. Check each by displaying the graph on a calculator.
$\left.y=\frac{1}{2}\left(e^{x}-e^{-x}\right) \text { (See Exercise } 53 \text { of Section } 27.6 .\right)$

Answer

Int. $(0,0),$ infl. (0,0) inc. all $x$

Related Courses

Basic Technical Mathematics with Calculus

Related Topics

Discussion

Top Calculus 1 / AB Educators

Catherine R.

Kayleah T.

Samuel H.

Michael J.

Calculus 1 / AB Courses

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 27

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Catherine R.

Kayleah T.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

Int. $(0,0),$ infl. (0,0) inc. all $x$

Basic Technical Mathematics with Calculus

Catherine R.

Kayleah T.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Catherine R.

Kayleah T.

Samuel H.

Michael J.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus