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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 $e$

Missouri State University

Oregon State University

Harvey Mudd College

Idaho State University

Lectures

01:32

Sketch the graph of the fu…

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02:11

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03:08

01:33

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eso. The premise in this problem is understanding the parent function of E to the X and understand the transformations which we'll talk about S o The parent function of E to the X has a y intercept of 01 which makes perfect sense because if you plug zero in for X, anything to the zero power equals one. No. Any non zero base, I guess I should say, um, it's exponential growth because the basis larger than one. And, um, what else should I say? The horizontal? Ask them to. It's like zero. So when we look at the graph of ffx is equal to E to the X plus one the expectations. You know that adding one to the X coordinate shifts. It's a translation left one unit back. Eso when you go to the graph instead of crossing the Y axis said 01 That point needs to get shifted to the left. So it's the ordered pair. Negative one positive one. It still has a horizontal ascent. Toped at y equals zero because we're shifting left not up and down. Andi, that's what they expect you to know. If you're confused by this, you can use a graphing calculator or you can create a table Values toe Help. You see that? Negative 11 is the ordered pair we care about. I have no idea what the Y intercept is. I mean would be like e so 2.71 But I don't think you need to write that down. Yeah.

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