Explain the difference between an absolute minimum and a local minimum.1) There is no difference.2)...

Explain the difference between an absolute minimum and a local minimum. 
1) There is no difference. 
2) A function f has an absolute minimum at $x=c$ if $f(c)$ is the smallest function value on the entire domain. 
3) 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. 
4) 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. 
5) 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.