The graph given below represents which of the following function?

The correct answer is Option (3) → $y=|x-1|+1$

The graph has a V–shape with its vertex at the point $(1,1)$.

A V–shape graph represents an absolute value function of the form:

$y = |x - h| + k$

Here, the vertex is at $(h,k) = (1,1)$.

So the function is:

$y = |x - 1| + 1$

The correct function represented by the graph is $y = |x - 1| + 1$.