Question

What is the range of the function f(x) = |x| +2?

Answer 1

Imagine the graph of f(x)=|x|. This can only output positive values ($x \geq 0$).

Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is $x \geq 2$