We have `y = f(x) = sin pisqrt(x)`
Clearly, the domain of the function is `[0, oo).`
`sin pi sqrt(x) = 0`
`therefore` `pi sqrt(x) = n pi, n in Z`
`therefore` `x = n^(2), n in Z`
Also `sin pi sqrt(x) gt 0`
`therefore` `pi sqrt(x) in underset(n = 1)overset(oo)uuu (2npi, (2n + 1)pi)`
`therefore` `x in underset(n = 1)overset(oo)uuu (4n^(2), (2n + 1)^(2))`
Similarly, sin `pi sqrt(x) lt 0` for `x in underset(n in z^(+))uuu ((2n + 1)^(2), (2n + 2)^(2))`
Thus, the graph of the function is as follows.
