#### Answer

Absolute minimum at $x=c$ and an absolute maximum at $x=a$

#### Work Step by Step

Absolute minimum at $x=c$ and an absolute maximum at $x=a$. Note that $y=g(x)$ is not continuous but still has absolute extrema. When the hypothesis of Theorem 1 is satisfied then extrema are guaranteed, but when the hypothesis is not satisfied, absolute extrema may or may not occur.