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Draw the graph of y = sin pisqrt(x). |
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Answer» Solution :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.
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