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 $y=f(x)=\log _{4}(5 x+2).$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Campbell University

Oregon State University

Idaho State University

Lectures

00:42

Graph the function.$$<…

01:58

Sketch the graph of the fu…

01:32

Graph the given function.<…

01:38

01:23

02:27

01:28

01:17

Sketch the graph of each f…

00:53

02:02

coming up with a graph of these. There's a lot of different ways of doing. You know, you could make a table of values, use a graphing calculator. There's, Ah lot of different options on shifting up, down left right, uh, stretches compressions. But a good tool, I think, is to use a domain feature and that we can Onley log positive numbers. So what's in the parentheses must be greater than zero. The reason why this is a good strategy is you can easily subtract two and divide by five. I like negative two fists, but that's about negative 0.4 in case you prefer, that is, that's gonna help us identify a vertical ascent toe and that our domain is to the right because it's greater than eso. Maybe, you know, you just plot a point. Eso Let's say this is negative. One negative 10.4 would be about right here. Eso then from there, I would identify an X intercept. Well, the X intercept is when y equals zero eso. If I were to set this equation equal to zero changes, too. Exponential form will forward to the zero power equals one. It's equal to five X plus two. Well, then I can subtract two over. So that would make that negative one because five x so actually equal negative 1/5 which is, you know, negative point to its like right here and the X intercept. As far as everything else goes, it has the same behavior as a log where it's approaching the ass from tow. There's no other reflections either, Um, and then goes up into the right rather slowly. And that's the kind of graph I would create. Your teacher might want more points than what I've provided, though. Um, but I think this is pretty good right there.

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:55

Use the properties of logarithms to find the derivative. Hint: It might be e…

01:12

Evaluate the given definite integral.$\int_{1}^{3} 5 d x$

01:15

Use the method of Lagrange multipliers to optimize $f$ as indicated, subject…

01:06

01:49

Determine the equation of the tangent line at the indicated $x$ -coordinate.…

01:46

Determine the equation of the inverse function.$$f(x)=\sqrt{2 x+3}$$

02:07

01:29

Evaluate the given definite integral.$\int_{4}^{9} \sqrt{t} d t$

01:19

02:32

Determine the derivative.$$f(x)=x^{2} e^{2 x}-2 x e^{2 x}+4 e^{2 x}$$