Question

In signum and greatest integer function, why does the line starts with a large dot?​

Answer 1

Since in a signum function its range is {-1,0,1} for any value of domain , hence to show that range of signum function is {-1,0,1} and since it does not change so it represented by big dots in the graph

In greatest integer function image of a domain is the greatest integer smaller than or equal to the element domain so the element of domain lies between greatest smaller integer and the next integer to it ,so it is just like a interval therefore it is represented in the graph by a line and dot just like an interval

Answer 2

SOLUTION

Since in a signum function its range is {-1,0,1} for any value of domain , hence to show that range of signum function is {-1,0,1} and since it does not change so it represented by big dots in the graph

In greatest integer function image of a domain is the greatest integer smaller than or equal to the element domain so the element of domain lies between greatest smaller integer and the next integer to it ,so it is just like a interval therefore it is represented in the graph by a line and dot just like an interval