Explain the difference between an absolute minimum and a local minimum. A function `f` has an absolute minimum at `x = c` if `f(c)` is the largest function value when `x` is near `c`, whereas `f` has a local minimum at `c` if `f(c)` is the largest function value on the entire domain of `f`. A function `f` has an absolute minimum at `x = c` if `f(c)` is the smallest function value on the entire domain of `f`, whereas `f` has a local minimum at `c` if `f(c)` is the smallest function value when `x` is near `c`. There is no difference. A function `f` has an absolute minimum at `x = c` if `f(c)` is the largest function value on the entire domain of `f`, whereas `f` has a local minimum at `c` if `f(c)` is the largest function value when `x` is near `c`. A function `f` has an absolute minimum at `x = c` if `f(c)` is the smallest function value when `x` is near `c`, whereas `f` has a local minimum at `c` if `f(c)` is the smallest function value on the entire domain of `f`