# Given f(x) = |x| + 1, what is the range of f(x)?

$\left[1 , \infty\right)$.
Since, $\forall x \in \mathbb{R} , | x | \ge 0 , f \left(x\right) = | x | + 1 \ge 1$.
Hence, the Range of $f$ is $\left[1 , \infty\right)$.