Connecting Differentiability and Continuity Practice Test

If $h$ is not differentiable at $x=0$, then $h$ is not continuous at $x=0$.

If $h$ is not continuous at $x=0$, then $h$ is differentiable at $x=0$.

If $h$ is differentiable at $x=0$, then $h$ is continuous at $x=0$.

If $h$ is continuous at $x=0$, then $h$ is not continuous at $x=0$.

If $h$ is continuous at $x=0$, then $h$ is differentiable at $x=0$.