Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Number of points.
The number of points in the rectangle {(x,y)|\(-10 \leq x \leq 10 and -3 \leq y \leq 3\)} which lie on the curve \(y^{2}=x+sinx \) and at which the tangent to the curve in parallel to x axis, is
Equation
Roots
Algebra
Answer:4
B.Stat Objective Problem 713
Challenges and Thrills of Pre-College Mathematics by University Press
here we see two graphs \(y^{2}=x+sinx\) and rectangle region
four such points here in which tangent is parallel to x axis
or, number of required points=4.
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Answer is 2