Question

If f:A to B is a constant function, then the range of function will have _____ element

Answer 1

Answer:

If f:A → B is a constant function, then the range of function will have one element

Step-by-step explanation:

A constant function has only one range while its domain is all the real numbers

For example y = 10 is a constant function. The graph of this function will be a straight line parallel to the x-axis. For all the real values of x there will be only one range of y that is 10.

It will be a many-one function.

hope this helps.

Answer 2

1 element

The explanation is very simple. The second coordinate of the function will always be constant. And hence the range is going to be that number alone. And hence there will be only 1 element.