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

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

The Number $e$

Missouri State University

Baylor University

Lectures

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Sketch the graph of the fu…

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Sketch a graph of the give…

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All right. So the whole premise of this problem is understanding the parent function into the X, which is the exponential function. I'll just draw right here, because if x zero um e to the zero power equals one, um and then exponential growth is going up into the right. Well, then, as you look at the function, okay, which they define as e to the X plus three, you're taking the same parent function. And what this plus three tells you to do is to shift up three units. So instead of having a horizontal asientos, that's the X axis or white, we'll zero. And instead of having the ah, why intercept b 01 Everything gets shifted up. Three units. So now you're horizontal Assam toads. That why equals three. Okay, you have a whole vertical. You have a why intercepted 04 And it's still an exponential growth function like this, and that's what we're looking for.

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