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Graph the function, not by plotting points, but by starting from the graph of $y=e^{x}$ in Figure $1 .$ State the domain, range, and asymptote.$$y=e^{-x}-1$$
$$\mathbb{R},(-1, \infty), y=-1$$
Algebra
Chapter 4
Exponential and Logarithmic Functions
Section 2
The Natural Exponential Function
Missouri State University
Oregon State University
Harvey Mudd College
Baylor University
Lectures
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for this crusher. As first we use a grapple the function f x equals e polo fax. And the way No, the gravel, this bunch myself like this. And it also go through the point they will. What? Little male? It's puncture is actually going to the real number. They're Banjul. This farm tries. Why going Teoh? They want to so positive Infinity and the asthma told here is like to they will actually, the acts access And for the new function here, yeah, equals two minus one times 18th cold packs. Um, so we find the different here is Stein. Before the function, the new function, uh, you need two times and minus one tiu the previous function. So first, let's see if the number of times minus What? What will happen? Um, wakes them. Who? One times minus brown. You were got my this 12 times. Friends weren't. You will get buying us too. Three times minus three. Your cats. My nursery. Then you, uh, use you. They see some by value, the previous by values one to ST and the new value. Why? Star? It's minus Y minus three or minus three. And if draw this point on the ground. You will see. Uh, I used the black point Teoh with ent. So why value? So who are they? One. There were one point a few times minor minus one to this point while you will get ISS here minus what? So justice kind line Sleep this point, uh, along the x x ice right now that state that second point to here, for example. And, uh, after times minus one this point What shed? To hear this too. So you will find if a function times minus well, which means the grout off these new function. You can just a bleep the whole Graf alone toe exercise to guess and you grab So for our problem well, we need to do is just to lead the hope graph here. We'll always act access. So the new ground she would be like this and the domain even chant issue acts belonging to the rial number The range chance to Mactan Infinity to live They will And the asthma told issue Why most? There are the axe access
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