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Sketch the graph of the function whose equation is given, using the first and second derivatives.$$y=f(x)=4 \log _{2}(x-1)$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 5

Logarithmic Functions

Campbell University

Oregon State University

Idaho State University

Lectures

01:58

Sketch the graph of the fu…

01:37

Sketch a graph of each pai…

00:17

Sketch the graphs of the f…

02:22

03:27

02:17

00:16

Sketch the graph of functi…

All right, So we're test with graphing log base for of X. Okay? And you can always create a table values right? Why equals So you can pick values for X and why? And see what works. Um, I hope all students recognize that we can Onley log positive numbers. So is I talk about the domain of ex uh, we can Onley have values bigger than zero and smaller than infinity. What might make more sense of students is maybe to rewrite this as forward to the y powers equal the X because then you can pick any number you want for why, you know, like you can pick negative to negative one zero one and two, and then you can actually see well, forward to the neck of second power would be 1/16 and then forward and they get first power will be 1/4 4 to 0 powers equal to one, which this is a pretty important deal. Um, and forward to the first power is 44 square to 16. So now I can go to the graph and say Okay, well, this makes sense when X is one. You know, I'm gonna get zero when x s four. I mean, I get why he goes one on it starts to make sense. Why we have a vertical ascent. Tote? Uh huh. Um, X equals zero, and we have a graph that looks like this. I don't know how many points to your teacher needs, but there's too. And you can plot more points if you'd like. Ah, the very poorly John Graft. But I think you can use a graphic character to verify that, though.

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