Integers a Split Shift Misses

Difficulty: Medium · Topics: Algebra, Functions, Properties of Functions

Bo‘lakli siljish o‘tkazib yuboradigan butun sonlar

f:mathbbZ→mathbbZ, f(x)=begincasesx-2, & x<0\\[2pt] x+3, & x≥0endcases

How many integers are not in the range of f?