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Consider the function f: R->\ R fined ...

Consider the function `f: R->\ R` fined as `f\ (x)\ =x\ +\ s in\ x` . Which of the following is/are the correct statement(s)? `(a)`The function is strictly increasing at every point on `R` except at ` x ` equal to an odd integral multiple of `pi` where the derivative of `f(x)` is zero and where the function `f` is not strictly increasing. `(b)`The function is bounded in every bounded interval but unbounded on whole real line. `(c)`The graph of the function `y\ =f(x)` lies in the first and third quadrants only. `(d)`The graph of the function `y=f(x)` cuts the line `y=x` at infinitely many points.

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Step by step text solution for Consider the function f: R->\ R fined as f\ (x)\ =x\ +\ s in\ x . Which of the following is/are the correct statement(s)? (a)The function is strictly increasing at every point on R except at x equal to an odd integral multiple of pi where the derivative of f(x) is zero and where the function f is not strictly increasing. (b)The function is bounded in every bounded interval but unbounded on whole real line. (c)The graph of the function y\ =f(x) lies in the first and third quadrants only. (d)The graph of the function y=f(x) cuts the line y=x at infinitely many points. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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