2.7.36 Function Properties

Condition: The function is set by various analytical expressions for various areas \ (x \): a) to find the points of rupture of the function if they exist; b) find one -sided limits and a jump in the function at the gap points; c) build a function schedule. \( f(x)=\left\{\begin{array}{rc}-3 x, & \text { если } x \leq 0 \\ \tan x, & \text { если } 0 \leq x \leq \frac{\pi}{4} \\ -2, & \ text {if} x> \ frac {\ pi} {4} \ end {array} \ right.