35. What is the number of the intersection of the two functions \( f(x)=x \) and \( g(x)=x^{(2)} \) ? \( \begin{array}{llll}\text { (A) } 1 & \text { (B) } 2 & \text { (C) } 3 & \text { (D) } 4\end{array} \)

To find the number of intersections between the two functions \( f(x) = x \) and \( g(x) = x^2 \), we need to determine where these two functions are equal. Setting \( x = x^2 \) gives us the equation \( x^2 - x = 0 \), which factors to \( x(x - 1) = 0 \). Thus, the solutions are \( x = 0 \) and \( x = 1 \). Therefore, the two functions intersect at two points: \( (0, 0) \) and \( (1, 1) \). So, the number of intersections is \( \text{(B) } 2 \).