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

ANSWER IS GRAPH

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 2

Exponential Functions

Missouri State University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

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Sketch the graph of the fu…

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So if we need to graph this, um, for right now, we just go ahead and plug in some numbers. I would say these are pretty decent. Wants to plug in for most exponentials and then just kind of see where that leads us. So first, I'm just going to start with, uh, three to the zero here, so that is just going to be one. So at zero, we'd plug in one. Um, then we have three to the one which is just three. So let's go ahead and plot that. So one and then three. And then over here we have three squared. So that would just be three times three, which is not. And then that would be 36 nine are not taken. So we have those three points, and then they just double check 45678 Not yet. Now, over here, we can go ahead and plug in three to the negative first, which is really just one third, which would be approximately because remember, if we have a negative exponents just reciprocates it. Um, it would be like 0.3 repeating. So that would be maybe somewhere around, like, here negative one. And then that negative to this is going to be three to the negative two, which is 1/3. Screwed, which is 1/9 and then 1/9 is somewhere around 0.1. Repeat orange. I guess it is exactly that. So then it's just like that end for these. We know we would have a horizontal Asato at Why is zero? So we just get really close to, um, are X axis. So this is just going to kind of keep on going up, and then we can connect the rest of our points. So she let me do that. So connect the rest of our points like this, and then it just gets really close to the X axis without ever really touching it. So then that there would be our, um, grass.

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