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Sketch the graph of the function defined by the given equation.$$f(x)=2.718^{x}$$

ANSWER IS GRAPH

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 2

Exponential Functions

Missouri State University

Campbell University

Oregon State University

University of Michigan - Ann Arbor

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Sketch the graph of the fu…

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So if you want to grab this, since I really don't give us many options, we just go ahead and plug in some points, Um, and then go from here so normally, any time you just have something where it's like a to the X, I would normally say these are some good points to plug in. And if you feel like you still need to plug into what you can from there, So let's just plug these in first and then kind of see where it goes. So first, um, if I plug in zero So 2.718 res zero. Well, that's just gonna be one. So that's going to be at this point if I plug in one. Well, that should still just be 2.718 So that would be somewhere around like here. If we square this, that gives something around 7.38 So 1234567 So yeah, around, like here. So and then after this point is just gonna get pretty large because it's essentially, like three cubed for the next one. So looks like that. And now on the left side. So we plug in negative one. So 2.71 to the negative first power, which would be 1/2 0.718 And that is approximately 0.36 So we're about here, and then if we do negative too. Um, actually, I guess we really don't even need to do that one, because it's going to just be a lot smaller than what we have there. So what you can do instead is keep in mind that we know when it's in the form of a latex on one side is going to get really close to the X axis. So that's going to happen on the left. So it's just gonna get really close like this. Um, yeah. So I guess I could just save a little, save a little time from us, actually. Calculate that. Yeah. So that would be kind of a sketch of our graph

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