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Unit 2 · 8.2 · Functions & continuity

Functions, graphs & level sets

f:D⊂ℝn→ℝ assigns a number to each point. For n=2 we can draw the graph (a surface) or the level sets Nc={f=c} (a contour plot). Finding the domain is the first step of every exam question.

Unit 2 · 8.2
Formulas at a glance · Functions & continuity

Functions, graphs & level sets

Nc={(x1,x2)∈ℝ2:f(x1,x2)=c}

Limits & continuity

limk→∞f(xk)=f(limk→∞xk)=f(x0)