What would you like to understand?

The squaring function $f(x)=x^2$ maps different inputs to the same output if those inputs are opposites (e.g., $2$ and $-2$). This does not violate the function rule because a function requires exactly one output for each input, but it allows multiple inputs to share the same output.

Conditions: The function is $f(x)=x^2$.; Inputs are distinct real numbers.

The squaring function $f(x)=x^2$ maps different inputs to the same output if those inputs are opposites (e.g., $2$ and $-2$). This does not violate the function rule because a function requires exactly one output for each input, but it allows multiple inputs to share the same output.

Conditions: The function is $f(x)=x^2$.; Inputs are distinct real numbers.