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.$$y=f(x)=e^{x}-3$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

The Number $e$

Missouri State University

Oregon State University

University of Michigan - Ann Arbor

Lectures

01:27

Sketch the graph of the fu…

01:29

01:17

01:37

02:23

01:36

00:35

01:48

02:15

02:08

00:13

Sketch a graph of the give…

00:14

03:00

02:24

01:55

uh, this problems all about the parent function either the ex, which I hope everybody knows. And if you don't, don't just quickly explain it that exponential functions like this one. Why equals, uh, still have an why intercept at 01? Because if x zero et zero power equals one, since he is a base that's larger than one its growth. So it goes up into the right, and it has a horizontal tangent. That is the X axis. Because exponential functions do not give you negative answers. Your range is only positives. So as you look at the, uh, translation, which is e to the X minus three, that's just saying, Hey, we're gonna take this. We're going to shift the graph down three. That's all we're doing here. So instead of your it's still exponential growth. But instead of the X axis being your horizontal Assam tote, it's the horizontal line. Why equals negative three? So instead of crossing at 01 we're gonna cross at zero negative too. But we're still showing exponential growth like this, and that's what we're looking for.

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:25

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

00:52

Determine the value of the logarithm without the use of a calculator.$$\…

01:21

Use $\log 2=0.3010$ and $\log 5=0.6990$ and the properties of logarithms to …

03:02

A demand equation is given by $p=\sqrt{9-x}$, where $p$ is the price per ite…

04:36

Find $d y / d x$ using any method.$$2 / x-3 / y=x^{2} y^{2}$$

03:10

(a) Given $f(x)=3 x^{5}+2 x^{3}+2,$ show this function is one-to-one.(b)…

01:24

03:08

$\$ 500 dollars is deposited into an account for 6 years.Determine the accum…

01:43

Write the given expression as a sum of logarithms.$$\log _{2} x y^{2}$$<…

01:14

Verify that $f$ and $g$ are inverse functions using the composition property…