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 on the same graph $y=f(x)=3^{x}$ and $y=g(x)=\frac{1}{3^{x}}=3^{-x} .$ What can be concluded about the two functions?

They are symmetric about the $y$ -axis

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 2

Exponential Functions

Campbell University

University of Michigan - Ann Arbor

Lectures

02:26

Sketch on the same graph $…

02:31

Sketch the graph of each p…

00:34

Draw a figure that display…

00:45

Graph both functions on on…

01:08

Graph the pair of function…

01:28

02:38

The functions $f(x)=3^{-x}…

01:09

Sketch the graphs of each …

00:48

(a) Sketch the graphs of $…

so they want us to first go ahead and sketch these graphs. So let's just go out and plug these numbers. And first and then we can kind of go from there. So if I plug in 0 to 3, that's that was first be one plugging in. One would get 32 We get nine and then the other way we justified. So that would be 0.3 repeating and then 0.1 repeating. So let's go to clock these. We have one, 3456789 and then over here we have one third and then one night. So to the right is just going to keep getting larger and larger and two left. It's going to just get really close to the X access. Now we can go ahead and do the same thing, but for three to the negative X. So first that would be one. And then if we plug in the negatives, they would just cancel out. So that would just be three and then nine. And then for the positives, it would just be zero point three, repeating at 0.1, repeating. So if we plug these values. And also, it should give us this here and again. It's gonna just get really close to the X axis on the rate, and there is going to get really large going to the left. So you might notice if we were to have, like, a mirror in between, um, the y axis. You can see how these are, like mirror images of each other. So these are mirror images or reflection across the Y axis. So that is going to be our relationship between these two.

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:24

$\$ 1475 dollars is deposited into an account for 12 years. Determine the a…

00:57

Determine the energy of an earthquake if its magnitude is $3.8 .$

Thorium 234 decays by about $3 \%$ every day. How much of a 10 lb sample rem…

03:11

How long would it take for an investment to (a) triple; (b) quadruple, earni…

03:12

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

01:55

Using the derivative, verify that the function in the indicated exercise is …

01:58

If $0.5=e^{k},$ determine $k.$

Prove $\log _{b} \frac{A}{B}=\log _{b} A-\log _{b} B.$

03:05

If $f(x)=\frac{2 x-3}{3 x+4},$ find (a) $f^{-1}(-3),$ (b) $f^{-1}(3)$

If $f(x)=2 x-5,$ find $(a) f^{-1}(1),(b) f^{-1}(3)$