Question

What is the graphical meaning of a function being continuous at a point?

Options

• Its graph must cross the \[x\]-axis at that point.

• Its graph must be a straight line near that point.

• Its graph can be drawn near that point without lifting the pen from the paper.

• Its graph must have \[f(c)=0\].

Answer 1

Continuity has the graphical meaning of no break at the point. Therefore, the graph can be drawn near that point without lifting the pen from the paper.