#functionslevelsets #domain #graph #levelset #contourplot
Unit 2 · 8.2 · Functions & continuity
Functions, graphs & level sets f : D ⊂ ℝ n → ℝ assigns a number to each point. For n = 2 we can draw the graph (a surface) or the level sets N c = { f = c } (a contour plot). Finding the domain is the first step of every exam question.
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Practice again Each layer builds on the one below it. Click any topic on the canvas — its lessons open right here, without leaving this page.
Mock exam Built like the sample short exam: short questions in the style of the exercise sheets, with new functions and numbers every time. No hints while you write — full solutions after you submit.
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Format Short exam · 3 questions · 2 + 4 + 4 pts · 30 min Topic test · 5 questions · 45 min Long mock · 8 questions · 75 min
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Formulas at a glance · Functions & continuity N c = { ( x 1 , x 2 ) ∈ ℝ 2 : f ( x 1 , x 2 ) = c }
lim k → ∞ f ( x k ) = f ( lim k → ∞ x k ) = f ( x 0 )