How to graph a function like $f(x)=e^{x^2}+\cos x$ using pen and paper? I mean without using any graphing calculators. What should be the approach for finding whether the function is one one or many one and into or onto?
2026-03-25 15:57:12.1774454232
Graphing a given function
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Do a discussion: Find zeros. Find zeros of the first derivative (local mins and maxs). Find zeros of the second derivative (points of inflection, concave / convex intervals). Check for symmetry (e.g. $f(x)=f(-x)$). Compute the limits. With such a discussion, you should get a good idea about how the graph looks like.