how to plot curve between two points

Hello,

Given a set of points: (x1, y1), (x2, y2), (x3, y3), (x4, y4), ....

How do plot a curve y = sinh(x) between (x1, y1) and (x2, y2) and then
between (x2, y2) and (x3, y3) and so on .....?

Thanks in advance,
AMaity.