List of top Mathematics Questions on Continuity asked in COMEDK UGET

The function \(f(x)=|x|+|x-1|\) is:
The relationship between \( a \) and \( b \) for the continuity of the function \( f(x) = \begin{cases} ax + 1, & x \leq 3 \\ bx + 3, & x \gt 3 \end{cases} \) at \( x = 3 \) is __________.
The function \( f(x) = \left\{ \begin{array}{ll} \frac{|x|}{x} & \text{if } x \neq 0 \\ 0 & \text{if } x = 0 \end{array} \right. \) is discontinuous at