Download the App!

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

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Sketch the graph of the function defined by the given equation.$$y=f(x)=2 e^{x-1}$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

The Number $e$

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:33

Sketch the graph of the fu…

01:16

02:25

02:11

00:49

01:32

01:39

02:42

00:13

Sketch a graph of the give…

00:14

01:23

All right, so we need to graph in this problem. FX equals to e to the X minus one power. Um, And just so you know, you can always make a table of values X f x if you do the problem this way, and it makes perfect sense. Um, you know, and you don't You don't even need a lot of points before you realize, you know, because if you were to plug in, I'll start with X equals one, because one minus one for the zero and eat of the zero powers one times to would be to. So I already know without really doing any work that this point would be on there. Um, now, after that, I probably need a calculator. Anyway, um, because all I know is that this answer would be to e and then this answer B two e squared. And all I really know is that he's about 2.1 2.718 Something like that. So if I were to have to e then at X equals two, we're gonna have a 345 somewhere up here. But anyway, um, if you're doing this by hand at least in my class. All I would do is say shift right one and a vertical stretch of to. And so what that tells me is that my exponential function, you know, look, something like this, Um, and the only other argument would be, you know, what is too divided by E. Um, a better graph would probably make it go below X equals one. Um, just because he is is larger than two. So, um, I don't know how strict your teacher would be about coming up with this graph and the this transformation, but there you go.

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:34

Determine if the equation describes an increasing or decreasing function or …

01:43

Find $x$.$$\log _{x} 1 / 16=-4 / 3$$

02:24

Sketch the graph of the function defined by the given equation.$$f(x)=3^…

09:54

In Exercises $29-38,$ for the function determined by the given equation (a) …

02:26

Sketch on the same graph $y=f(x)=2^{x}$ and $y=g(x)=\frac{1}{2^{x}}=2^{-x} .…

03:09

Find $\frac{d}{d x}(\sqrt{2 x+\sqrt{3 x+\sqrt{4 x}}})$.

01:08

Find $x$.$$\log _{3} x=4$$

02:57

Use the first and second derivatives to sketch the graph of the given equati…

08:20

(a) Find $d r$ if $r=\frac{20}{\sqrt{5 u^{2}+9}}$,(b) Find $d y$ if $y=x…

01:10

Write the given expression as a sum of logarithms.$$\ln x^{5} \sqrt[4]{y…