Consider the following two statements about the function $f(x)=\left\vert x\right\vert$:
- P. $f(x)$ is continuous for all real values of $x$.
- Q. $f(x)$ is differentiable for all real values of $x$ .
Which of the following is TRUE?
- P is true and Q is false.
- P is false and Q is true.
- Both P and Q are true.
- Both P and Q are false.