MathProblemsBank

2.7.3 Function properties

Problem: \( y=f(x) \) is a function with various analytical expressions for different domains of change of the independent variable. Find the discontinuity points of the function, if they exist. Plot the graph. \[ y=\left\{\begin{array}{cc} x^{2}, & x \leq 0 \\ x, & 02 \end{array} .\right. \]