Functions imaging

What this function-properties puzzle tests

This is a warm-up difficulty puzzle that checks your fluency with basic function properties and mathematical notation. It asks you to reason about a concrete, familiar function and determine whether it satisfies a specific characteristic.

The question rewards clarity in definition: you'll need to recall what the property in question means rigorously, apply it to the given function, and justify your answer with either a proof or a counterexample. These foundational checks often appear early in interview rounds to establish a baseline for mathematical communication.

• Function domains and ranges
• Monotonicity and continuity
• Injectivity and surjectivity