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Sketch the graph of the function defined by the given equation.$$y=f(x)=e^{x-1}$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

The Number $e$

Campbell University

Oregon State University

McMaster University

Harvey Mudd College

Lectures

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Sketch the graph of the fu…

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Sketch a graph of the give…

this problem is all about knowing the parent function Ah of E to the X, which is an exponential function that hits the Y axis at 01 uh, exponential growth. So it goes up into the right, um, and then also has a horizontal Assam tote at y equals zero. So that will help me graph the function right E to the X minus one. And you should know at this point that this is a horizontal shift or a translation, right? One unit. If you're confused by that, start making a table values like X ffx. And what you'll see is, if x zero, you know, you do zero minus one. So would be e to the negative first power. Whereas if you do, X is one you have to eat of the zero power, which is one which is exactly what happens is this point that would normally cross the Y axis at 01 has now shifted to the right at 11 But notice that it has no bearing on where the horizontal answer to it is horizontal. Last photos. So why equals zero and it's still exponential. Growth just shifted to the right. So that's all you really need to know about this problem

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