Question

For a piecewise function, at which points should continuity be checked especially?

Options

• At the points where the formula changes

• Only at the points where \[f(x)=0\]

• Only at positive points

• Only at the endpoints \[a\] and \[b\]

Answer 1

A piecewise function is defined by different formulas on different parts of its domain. Continuity needs particular checking at a point where the rule changes.