The largest interval in which the function f(x)=3sinπ29-x2 assumes values is
0,33
-332,332
0,332
-332,0
The Explanation for the correct option.
Solve for the range of the given function f(x)=3sinπ29-x2
f(x)=3sinπ29-x2
Here, π29-x2≥0
⇒x2≤π29⇒x=π3
The value of f-π3=0
f(0)=3sinπ3=332
The range of f(x)=3sinπ29-x2 is 0,332.
Hence, option (C) is the correct answer.