- #1
Batmaniac
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Homework Statement
Roughly sketch e^x + x - 2 to show that it has only one root. This is given before we learn derivatives and the curve sketching algorithm, but after we have gone through limits and asymptotes.
The Attempt at a Solution
Well, the graph of e^x - 2,is easy enough, a simple exponential graph shifted down by 2. But what does the +x do to the graph from there? I've no idea. I could sketch it using the curve sketching algorithm we learned in high school calculus, but we don't cover that for another month or so in this course so I know it's expected to be done by other methods (mostly intuition!), especially since it's just a really rough sketch they want.
- thanks